WW1-WW2 German Bayonet help Answered

I was wondering if anyone can help me identify a German bayonet I have. I’ve done a bunch of research with my friends and think it was made during ww1 and reused in WW2. Some details are there’s a letter “J” on the spine and a filed out “3183” on the tang and scabbard I think those are the numbers I’m not completely sure but from the scabbard it seems to be “3183”. The tang serial number was filed out except the last number “3” and on the scabbard “813 (blank)”. And stamped over the scabbard is “3837” and on the guard “3887”. I believe it’s around 10-14 inches. I don’t know if this might help but just wanted to include it just in case, thanks.