Oyster-Royal 834788 date?

[KCRandy]

I'm new and have just acquired an Oyster-Royal and have found the number 834788 between the top lugs and BREVET and swiss cross symbol between the bottom lugs. Is that the watch's serial number and does that mean it is from 1936. It is in running order. The stem wind doesn't pull out. I've exerted some pressure but do not want to apply any more. I'm ignorant here. I've been told to set the watch, other than having the bezel taken off, to let it wind down on its own, wait until that time occurs again and then wind it. Wow, as I'm writing this it just stopped at 7:13:28. Guess I'll see if it will wind at that time this evening. The face plate is a kind of honeycomb pattern. The five minute marks are all arrows except for 12 of course.