I never had a problem with the network while using it. Although I admit that the popups are annoying. There aren't that many alternatives to choose from these days anyways.UPDATE:
After about a month, I ended up removing 360 Total Security from both of the machines I had installed it on. In my case, it not only messed up all the network addresses of those two machines, but other machines in the network as well. The problem seemed to be intermittent, and quite frustrating. Sometimes the networking capabilities resumed after rebooting both machines, but it was just too much of a bother. The damn popups didn't help much either.