Should we register the trademark or copyright for our app?

Hi! We have just finished creating our first app. It's a social network and should mainly be used by users in the US and Canada. Once it comes out it should get a significant amount of users quickly, our beta tests got very good responses. The company name isn't registered yet.

Before we publicly launch the app, should we get a patent, or trademark/copyright the name of the app? Is it best to do more than one of these things?

I was planning on registering a trademark but I'm not sure if I can get a patent as well.