diff --git a/modules/flowable-engine/src/test/java/org/flowable/engine/test/history/HistoricTaskInstanceTest.java b/modules/flowable-engine/src/test/java/org/flowable/engine/test/history/HistoricTaskInstanceTest.java
index 5b3c489c861..01bb56bf936 100644
--- a/modules/flowable-engine/src/test/java/org/flowable/engine/test/history/HistoricTaskInstanceTest.java
+++ b/modules/flowable-engine/src/test/java/org/flowable/engine/test/history/HistoricTaskInstanceTest.java
@@ -24,14 +24,15 @@
 import java.util.Date;
 import java.util.GregorianCalendar;
 import java.util.HashMap;
+import java.util.HashSet;
 import java.util.List;
 import java.util.Map;
+import java.util.Set;
 
 import org.flowable.common.engine.api.FlowableException;
 import org.flowable.common.engine.api.FlowableIllegalArgumentException;
 import org.flowable.common.engine.api.FlowableObjectNotFoundException;
 import org.flowable.engine.impl.test.PluggableFlowableTestCase;
-import org.flowable.engine.runtime.ActivityInstance;
 import org.flowable.engine.runtime.Execution;
 import org.flowable.engine.runtime.ProcessInstance;
 import org.flowable.engine.test.Deployment;
@@ -990,4 +991,115 @@ public void testQueryByParentScopeId() {
                 );
     }
 
+    @Test
+    @Deployment(resources = {
+            "org/flowable/engine/test/api/oneTaskProcess.bpmn20.xml"
+    })
+    public void testQueryByVariousTimeConstraints() {
+
+        // Test for https://github.com/flowable/flowable-engine/issues/3827
+
+        Date testStartTime = new Date();
+        processEngineConfiguration.getClock().setCurrentTime(testStartTime);
+
+        Set<String> processInstanceIds = new HashSet<>();
+        for (int i = 0; i < 4; i++){
+            processInstanceIds.add(runtimeService.startProcessInstanceByKey("oneTaskProcess").getId());
+        }
+
+        Date afterInstancesStartedTime = new Date(testStartTime.getTime() + 10_000);
+        processEngineConfiguration.getClock().setCurrentTime(afterInstancesStartedTime);
+
+        for (String processInstanceId : processInstanceIds) {
+
+            assertThat(historyService.createHistoricTaskInstanceQuery().processInstanceId(processInstanceId).count()).isOne();
+            assertThat(historyService.createHistoricTaskInstanceQuery().processInstanceIdIn(Collections.singletonList(processInstanceId)).count()).isOne();
+
+            // Start time
+            assertThat(historyService.createHistoricTaskInstanceQuery().processInstanceIdIn(Collections.singletonList(processInstanceId))
+                    .taskCreatedAfter(new Date(testStartTime.getTime() - 10_000)).count()).isOne();
+            assertThat(historyService.createHistoricTaskInstanceQuery().processInstanceIdIn(Collections.singletonList(processInstanceId))
+                    .taskCreatedBefore(new Date(afterInstancesStartedTime.getTime())).count()).isOne();
+
+            // Claim --> change state
+            taskService.claim(taskService.createTaskQuery().processInstanceId(processInstanceId).singleResult().getId(), "johnDoe");
+        }
+
+        Date afterClaimTime = new Date(afterInstancesStartedTime.getTime() + 10_000);
+        processEngineConfiguration.getClock().setCurrentTime(afterClaimTime);
+
+        for (String processInstanceId : processInstanceIds) {
+            // State
+            assertThat(historyService.createHistoricTaskInstanceQuery().processInstanceIdIn(Collections.singletonList(processInstanceId))
+                    .taskState(Task.CLAIMED).count()).isOne();
+            assertThat(historyService.createHistoricTaskInstanceQuery().processInstanceIdIn(Collections.singletonList(processInstanceId))
+                    .taskClaimedBy("johnDoe").count()).isOne();
+
+            // Claim time
+            assertThat(historyService.createHistoricTaskInstanceQuery().processInstanceIdIn(Collections.singletonList(processInstanceId))
+                    .taskClaimedAfter(new Date(afterInstancesStartedTime.getTime() - 10_000)).count()).isOne();
+            assertThat(historyService.createHistoricTaskInstanceQuery().processInstanceIdIn(Collections.singletonList(processInstanceId))
+                    .taskClaimedBefore(new Date(afterClaimTime.getTime())).count()).isOne();
+
+            // Make tasks in progress
+            taskService.startProgress(taskService.createTaskQuery().processInstanceId(processInstanceId).singleResult().getId(), "johnDoe");
+        }
+
+        Date afterInProgressTime = new Date(afterClaimTime.getTime() + 10_000);
+        processEngineConfiguration.getClock().setCurrentTime(afterInProgressTime);
+
+        for (String processInstanceId : processInstanceIds) {
+            assertThat(historyService.createHistoricTaskInstanceQuery().processInstanceIdIn(Collections.singletonList(processInstanceId))
+                    .taskState(Task.IN_PROGRESS).count()).isOne();
+            assertThat(historyService.createHistoricTaskInstanceQuery().processInstanceIdIn(Collections.singletonList(processInstanceId))
+                    .taskInProgressStartedBy("johnDoe").count()).isOne();
+
+            // In progress time
+            assertThat(historyService.createHistoricTaskInstanceQuery().processInstanceIdIn(Collections.singletonList(processInstanceId))
+                    .taskInProgressStartTimeAfter(new Date(afterClaimTime.getTime() - 10_000)).count()).isOne();
+            assertThat(historyService.createHistoricTaskInstanceQuery().processInstanceIdIn(Collections.singletonList(processInstanceId))
+                    .taskInProgressStartTimeBefore(new Date(afterInProgressTime.getTime())).count()).isOne();
+
+            // Suspend the tasks
+            taskService.suspendTask(taskService.createTaskQuery().processInstanceId(processInstanceId).singleResult().getId(), "johnDoe");
+        }
+
+        Date afterSuspendTime = new Date(afterInProgressTime.getTime() + 10_000);
+        processEngineConfiguration.getClock().setCurrentTime(afterSuspendTime);
+
+        for (String processInstanceId : processInstanceIds) {
+            assertThat(historyService.createHistoricTaskInstanceQuery().processInstanceIdIn(Collections.singletonList(processInstanceId))
+                    .taskState(Task.SUSPENDED).count()).isOne();
+            assertThat(historyService.createHistoricTaskInstanceQuery().processInstanceIdIn(Collections.singletonList(processInstanceId))
+                    .taskSuspendedBy("johnDoe").count()).isOne();
+
+            // Suspend time
+            assertThat(historyService.createHistoricTaskInstanceQuery().processInstanceIdIn(Collections.singletonList(processInstanceId))
+                    .taskSuspendedAfter(new Date(afterInProgressTime.getTime() - 10_000)).count()).isOne();
+            assertThat(historyService.createHistoricTaskInstanceQuery().processInstanceIdIn(Collections.singletonList(processInstanceId))
+                    .taskSuspendedBefore(new Date(afterSuspendTime.getTime())).count()).isOne();
+
+            // Complete the tasks
+            taskService.activateTask(taskService.createTaskQuery().processInstanceId(processInstanceId).singleResult().getId(), "johnDoe");
+            taskService.complete(taskService.createTaskQuery().processInstanceId(processInstanceId).singleResult().getId(), "johnDoe");
+        }
+
+        Date afterCompleteTime = new Date(afterSuspendTime.getTime() + 10_000);
+        processEngineConfiguration.getClock().setCurrentTime(afterSuspendTime);
+
+        for (String processInstanceId : processInstanceIds) {
+            assertThat(historyService.createHistoricTaskInstanceQuery().processInstanceIdIn(Collections.singletonList(processInstanceId))
+                    .taskState(Task.COMPLETED).count()).isOne();
+            assertThat(historyService.createHistoricTaskInstanceQuery().processInstanceIdIn(Collections.singletonList(processInstanceId))
+                    .taskCompletedBy("johnDoe").count()).isOne();
+
+            // Completion time
+            assertThat(historyService.createHistoricTaskInstanceQuery().processInstanceIdIn(Collections.singletonList(processInstanceId))
+                    .taskCompletedAfter(new Date(afterSuspendTime.getTime() - 10_000)).count()).isOne();
+            assertThat(historyService.createHistoricTaskInstanceQuery().processInstanceIdIn(Collections.singletonList(processInstanceId))
+                    .taskCompletedBefore(new Date(afterCompleteTime.getTime())).count()).isOne();
+        }
+
+    }
+
 }
diff --git a/modules/flowable-task-service-api/src/main/java/org/flowable/task/api/history/HistoricTaskInstanceQuery.java b/modules/flowable-task-service-api/src/main/java/org/flowable/task/api/history/HistoricTaskInstanceQuery.java
index 8431a2173fc..c9b275c7ff2 100644
--- a/modules/flowable-task-service-api/src/main/java/org/flowable/task/api/history/HistoricTaskInstanceQuery.java
+++ b/modules/flowable-task-service-api/src/main/java/org/flowable/task/api/history/HistoricTaskInstanceQuery.java
@@ -58,20 +58,25 @@ public interface HistoricTaskInstanceQuery extends TaskInfoQuery<HistoricTaskIns
     HistoricTaskInstanceQuery taskParentTaskId(String parentTaskId);
 
     /**
-     * Only select select historic task instances which are completed on the given date
+     * Only select historic task instances which are completed on the given date
      */
     HistoricTaskInstanceQuery taskCompletedOn(Date endDate);
 
     /**
-     * Only select select historic task instances which are completed before the given date
+     * Only select historic task instances which are completed before the given date
      */
     HistoricTaskInstanceQuery taskCompletedBefore(Date endDate);
 
     /**
-     * Only select select historic task instances which are completed after the given date
+     * Only select historic task instances which are completed after the given date
      */
     HistoricTaskInstanceQuery taskCompletedAfter(Date endDate);
 
+    /**
+     * Only select historic task instances which are completed by the given user
+     */
+    HistoricTaskInstanceQuery taskCompletedBy(String userId);
+
     /**
      * Only select historic tasks without a delete reason (completed normally)
      */
diff --git a/modules/flowable-task-service/src/main/java/org/flowable/task/service/impl/HistoricTaskInstanceQueryImpl.java b/modules/flowable-task-service/src/main/java/org/flowable/task/service/impl/HistoricTaskInstanceQueryImpl.java
index d1a70e662a2..336299e451b 100644
--- a/modules/flowable-task-service/src/main/java/org/flowable/task/service/impl/HistoricTaskInstanceQueryImpl.java
+++ b/modules/flowable-task-service/src/main/java/org/flowable/task/service/impl/HistoricTaskInstanceQueryImpl.java
@@ -1699,6 +1699,16 @@ public HistoricTaskInstanceQuery taskCompletedAfter(Date completedAfterDate) {
         }
         return this;
     }
+
+    @Override
+    public HistoricTaskInstanceQuery taskCompletedBy(String completedBy) {
+        if (inOrStatement) {
+            this.currentOrQueryObject.completedBy = completedBy;
+        } else {
+            this.completedBy = completedBy;
+        }
+        return this;
+    }
     
     @Override
     public HistoricTaskInstanceQuery taskInProgressStartDueDate(Date dueDate) {
diff --git a/modules/flowable-task-service/src/main/resources/org/flowable/task/service/db/mapping/entity/HistoricTaskInstance.xml b/modules/flowable-task-service/src/main/resources/org/flowable/task/service/db/mapping/entity/HistoricTaskInstance.xml
index 7f35ccc376f..84d6c9e2b50 100644
--- a/modules/flowable-task-service/src/main/resources/org/flowable/task/service/db/mapping/entity/HistoricTaskInstance.xml
+++ b/modules/flowable-task-service/src/main/resources/org/flowable/task/service/db/mapping/entity/HistoricTaskInstance.xml
@@ -1336,73 +1336,73 @@
         and ${queryTablePrefix}END_TIME_ is not null
       </if>
       <if test="state != null">
-        or ${queryTablePrefix}STATE_ = #{state}
+        and ${queryTablePrefix}STATE_ = #{state}
       </if>
       <if test="createTime != null">
-        or ${queryTablePrefix}START_TIME_ = #{createTime}
+        and ${queryTablePrefix}START_TIME_ = #{createTime}
       </if>
       <if test="createTimeBefore != null">
-        or ${queryTablePrefix}START_TIME_ &lt; #{createTimeBefore}
+        and ${queryTablePrefix}START_TIME_ &lt; #{createTimeBefore}
       </if>
       <if test="createTimeAfter != null">
-        or ${queryTablePrefix}START_TIME_ &gt; #{createTimeAfter}
+        and ${queryTablePrefix}START_TIME_ &gt; #{createTimeAfter}
       </if>
       <if test="inProgressStartTime != null">
-        or ${queryTablePrefix}IN_PROGRESS_TIME_ = #{inProgressStartTime}
+        and ${queryTablePrefix}IN_PROGRESS_TIME_ = #{inProgressStartTime}
       </if>
       <if test="inProgressStartTimeBefore != null">
-        or ${queryTablePrefix}IN_PROGRESS_TIME_ &lt; #{inProgressStartTimeBefore}
+        and ${queryTablePrefix}IN_PROGRESS_TIME_ &lt; #{inProgressStartTimeBefore}
       </if>
       <if test="inProgressStartTimeAfter != null">
-        or ${queryTablePrefix}IN_PROGRESS_TIME_ &gt; #{inProgressStartTimeAfter}
+        and ${queryTablePrefix}IN_PROGRESS_TIME_ &gt; #{inProgressStartTimeAfter}
       </if>
       <if test="inProgressStartedBy != null">
-        or ${queryTablePrefix}IN_PROGRESS_STARTED_BY = #{inProgressStartedBy}
+        and ${queryTablePrefix}IN_PROGRESS_STARTED_BY_ = #{inProgressStartedBy}
       </if>
       <if test="claimTime != null">
-        or ${queryTablePrefix}CLAIM_TIME_ = #{claimTime}
+        and ${queryTablePrefix}CLAIM_TIME_ = #{claimTime}
       </if>
       <if test="claimTimeBefore != null">
-        or ${queryTablePrefix}CLAIM_TIME_ &lt; #{claimTimeBefore}
+        and ${queryTablePrefix}CLAIM_TIME_ &lt; #{claimTimeBefore}
       </if>
       <if test="claimTimeAfter != null">
-        or ${queryTablePrefix}CLAIM_TIME_ &gt; #{claimTimeAfter}
+        and ${queryTablePrefix}CLAIM_TIME_ &gt; #{claimTimeAfter}
       </if>
       <if test="claimedBy != null">
-        or ${queryTablePrefix}CLAIMED_BY = #{claimedBy}
+        and ${queryTablePrefix}CLAIMED_BY_ = #{claimedBy}
       </if>
       <if test="suspendedTime != null">
-        or ${queryTablePrefix}SUSPENDED_TIME_ = #{suspendedTime}
+        and ${queryTablePrefix}SUSPENDED_TIME_ = #{suspendedTime}
       </if>
       <if test="suspendedTimeBefore != null">
-        or ${queryTablePrefix}SUSPENDED_TIME_ &lt; #{suspendedTimeBefore}
+        and ${queryTablePrefix}SUSPENDED_TIME_ &lt; #{suspendedTimeBefore}
       </if>
       <if test="suspendedTimeAfter != null">
-        or ${queryTablePrefix}SUSPENDED_TIME_ &gt; #{suspendedTimeAfter}
+        and ${queryTablePrefix}SUSPENDED_TIME_ &gt; #{suspendedTimeAfter}
       </if>
       <if test="suspendedBy != null">
-        or ${queryTablePrefix}SUSPENDED_BY = #{suspendedBy}
+        and ${queryTablePrefix}SUSPENDED_BY_ = #{suspendedBy}
       </if>
       <if test="completedTime != null">
-        or ${queryTablePrefix}END_TIME_ = #{completedTime}
+        and ${queryTablePrefix}END_TIME_ = #{completedTime}
       </if>
       <if test="completedTimeBefore != null">
-        or ${queryTablePrefix}END_TIME_ &lt; #{completedTimeBefore}
+        and ${queryTablePrefix}END_TIME_ &lt; #{completedTimeBefore}
       </if>
       <if test="completedTimeAfter != null">
-        or ${queryTablePrefix}END_TIME_ &gt; #{completedTimeAfter}
+        and ${queryTablePrefix}END_TIME_ &gt; #{completedTimeAfter}
       </if>
       <if test="completedBy != null">
-        or ${queryTablePrefix}COMPLETED_BY = #{completedBy}
+        and ${queryTablePrefix}COMPLETED_BY_ = #{completedBy}
       </if>
       <if test="inProgressStartDueDate != null">
-        or ${queryTablePrefix}IN_PROGRESS_DUE_DATE_ = #{inProgressStartDueDate}
+        and ${queryTablePrefix}IN_PROGRESS_DUE_DATE_ = #{inProgressStartDueDate}
       </if>
       <if test="inProgressStartDueBefore != null">
-        or ${queryTablePrefix}IN_PROGRESS_DUE_DATE_ &lt; #{inProgressStartDueBefore}
+        and ${queryTablePrefix}IN_PROGRESS_DUE_DATE_ &lt; #{inProgressStartDueBefore}
       </if>
       <if test="inProgressStartDueAfter != null">
-        or ${queryTablePrefix}IN_PROGRESS_DUE_DATE_ &gt; #{inProgressStartDueAfter}
+        and ${queryTablePrefix}IN_PROGRESS_DUE_DATE_ &gt; #{inProgressStartDueAfter}
       </if>
       <if test="dueDate != null">
         and ${queryTablePrefix}DUE_DATE_ = #{dueDate}
@@ -1705,7 +1705,7 @@
         or ${queryTablePrefix}IN_PROGRESS_TIME_ &gt; #{orQueryObject.inProgressStartTimeAfter}
       </if>
       <if test="orQueryObject.inProgressStartedBy != null">
-        or ${queryTablePrefix}IN_PROGRESS_STARTED_BY = #{orQueryObject.inProgressStartedBy}
+        or ${queryTablePrefix}IN_PROGRESS_STARTED_BY_ = #{orQueryObject.inProgressStartedBy}
       </if>
       <if test="orQueryObject.claimTime != null">
         or ${queryTablePrefix}CLAIM_TIME_ = #{orQueryObject.claimTime}
@@ -1717,7 +1717,7 @@
         or ${queryTablePrefix}CLAIM_TIME_ &gt; #{orQueryObject.claimTimeAfter}
       </if>
       <if test="orQueryObject.claimedBy != null">
-        or ${queryTablePrefix}CLAIMED_BY = #{orQueryObject.claimedBy}
+        or ${queryTablePrefix}CLAIMED_BY_ = #{orQueryObject.claimedBy}
       </if>
       <if test="orQueryObject.suspendedTime != null">
         or ${queryTablePrefix}SUSPENDED_TIME_ = #{orQueryObject.suspendedTime}
@@ -1729,7 +1729,7 @@
         or ${queryTablePrefix}SUSPENDED_TIME_ &gt; #{orQueryObject.suspendedTimeAfter}
       </if>
       <if test="orQueryObject.suspendedBy != null">
-        or ${queryTablePrefix}SUSPENDED_BY = #{orQueryObject.suspendedBy}
+        or ${queryTablePrefix}SUSPENDED_BY_ = #{orQueryObject.suspendedBy}
       </if>
       <if test="orQueryObject.completedTime != null">
         or ${queryTablePrefix}END_TIME_ = #{orQueryObject.completedTime}
@@ -1741,7 +1741,7 @@
         or ${queryTablePrefix}END_TIME_ &gt; #{orQueryObject.completedTimeAfter}
       </if>
       <if test="orQueryObject.completedBy != null">
-        or ${queryTablePrefix}COMPLETED_BY = #{orQueryObject.completedBy}
+        or ${queryTablePrefix}COMPLETED_BY_ = #{orQueryObject.completedBy}
       </if>
       <if test="orQueryObject.inProgressStartDueDate != null">
         or ${queryTablePrefix}IN_PROGRESS_DUE_DATE_ = #{orQueryObject.inProgressStartDueDate}