A:Answer Thank you for asking this question, because it finally forced me to read the manual. Running to the coffee maker every hour, on the hour, to hit the "Brew" button was getting a little frustrating.
Quick answer is yes. I just read the instructions and tried it myself. You can set it to turn off after brewing, anywhere from zero minutes to 4 hours.
All you have to do is hold down the "Brew" button for about 3 seconds, and release the button when the screen starts flashing (it will look like it's flashing the time of day; "2:00" for example). The number that is flashing is the number of hours and minutes that the coffee will stay hot. You can increase and/or decrease the amount of time it will stay on using the "Hr." and "Min." buttons on the left and right side of the screen. Once you've settled on that, push the "Brew" button to save it.
I was really driving myself nuts over this issue, so I really am glad you asked the question.
Also, here's the link to Cuisinart's page where you can download the instruction manuals for coffee makers:
https://www.cuisinart.com/manuals/coffee_makers/
You'll have to scroll down the page quite a ways to find the DCC-3200P1. It's about five rows from the bottom of the page, far right column.