If you're using Windows, I think THE Rename will do what you want. It allows you to set the Create, Modified, or Last Access date to a variety of values, including EXIF DateTime, DateTimeDigitized, or DateTimeOriginal.
If you're curious I also found thAT Bulk Rename Utility, which I already use, can do it too. Not obvious how though, it's up in the menu system. It's a great rename utility.
Another great program is attribute changer. It lets you change all the file and folder attributes - hidden, system, protected, dates, etc, and lets you recurse thru folders as well. Find it here.
If you're curious I also found thAT Bulk Rename Utility, which I already use, can do it too. Not obvious how though, it's up in the menu system. It's a great rename utility.
I second bru - I used it to format all my image filenames the way I currently use. I had it recurse all the files in 3 years of folders and rename the files by date taken in the format yyyy-mm-dd-ssss (ssss=4 digit serial number per date). Took about 15 seconds. BAM! Great program!