Not only that, each time Epson's software updater did an update, it could not find the existing printer, so it added another copy of the Epson FAX printer.
The cause of this problem is that Epson printer driver installer installs the printer with a standard TCP/IP port. But when the printer's TCP/IP address changes, Windows will no longer be able to find the printer. You can right click on the printer, select "Printer Properties", and then go to the "Ports" tab to verify this:
It turns out that Epson has a printer port software called "EpsonNet Print". You can google for it, or you can just go to the link http://support.epson.net/win7/updates/network/001_dl.html and download the software there. If you install the Epson printer software combo, it would probably include this as well. But because the date on the combo software is older than the printer driver, people would likely not install this software combo.
Once the EpsonNet Print software is installed, you can add a new port of the type "EpsonNet Print":
This port will work with whatever IP address the Epson printer happens to be on. You would then repeat this for the Epson WF-3640 Series (FAX) printer, and then delete all the other copies.
From here on, each time the printer is turned on, it will always be shown as "online" in Windows.