Arizona added nearly 3,600 cases of coronavirus overnight Monday, putting the state above 58,000.

According to the Arizona Department of Health Services, there are 58,179 cases and 1,384 deaths of COVID-19 as of Tuesday morning, up 3,591 and 42, respectively, from Monday. The new cases set a daily high.

The numbers of cases per 100,000 residents in the state is 799 as of Tuesday, using 2019 estimates from the U.S. Census Bureau. Maricopa County is below that at 755. Santa Cruz County is at 3,271 cases per 100,000 residents, the highest in the state. Navajo and Apache counties, which include parts of the Navajo Nation, are at 2,854 and 3,012 per 100,000 residents, respectively.

Nationally, Arizona has the 12th highest case rate per 100,000 residents. Arizona, the 14th most populous state, added the fourth most cases on Monday, trailing California, Texas and Florida.

The new cases come as President Donald Trump makes his way to Arizona to visit the border in Yuma, where its county has the fourth highest case rate per 100,000 residents. Afterwards, Mr. Trump will attend a “Students for Trump” event in Phoenix.

Health officials have attributed the new cases to increased testing and to community spread of the virus.

Saying that data trends were headed in the wrong direction, Gov. Doug Ducey last week reversed himself and allowed local governments to impose requirements for people to wear masks in public to curtail spread of the virus. Most cities and counties have done that.

For most people, the new coronavirus causes mild or moderate symptoms, such as fever and cough that clear up in two to three weeks. But for some — especially older adults and people with existing health problems — it can cause more severe illness, including pneumonia, and death.