Usually I just leave mine plugged in 24/7 and don't have any troubles but I find it odd that when you have 360 troubles at times tech support will tell you to unplug it and let it cool for about 10 mins or so then plug it back in.

I dunno what's inside of that baby killer but as long as you leave it in a spot where air can get to it you'll be fine leaving it alone and plugged in.