Hey there! With any new hardware you should expect some issues, nothing is 100% bug free at launch. As for your error code, CE-34878-0 means that your application or game has crashed. This can be fixed by making sure your PS4 and game is all up to date with updates and if they are, you can initialize your PS4 by going to [Settings] -> [Initialization] -> [Initialize PS4]. Seeing as you said you've already tried that my best guess is that it's an error with the game itself and not the PS4. Is Fifa the only game having this problem? Or are there others?
Hmm, well Battlefield had very bad crashing issues at launch with pretty much every platform. Even though they fixed most of the issues causing the crashes it still happens from time to time, and since Fifa is published by EA as well, I'd contact them directly. It's a 50/50 on what is causing the crashes. It's either the system or the game / app, and my guess is that it's the game. You can contact EA directly by clicking here. Be sure to update us on any fixes or reasons for the crashes!