In comparision, in neighboring Austria, the same would only cost 91.25 Euros / month for the "Klimaticket Ö". Yes yes, Germanys rail network is bigger, still hurts a tiny bit. :')
It's not cheap, but I have an acquaintance who got a Bahncard 100 with 1st class access because she works at the Bahn and it sounds quite life changing. ICEs on major routes are somewhat frequent and you can just get on the train without reservations or anything. Wanna go from Hamburg to Berlin for the day? You pretty much just walk to the train station and 2-2.5 hours later are in Berlin. You can do stuff on the train. Read a book, watch a movie, start work on your new startup's app or get a currywurst from the restaurant car. I am quite jealous of this.
Ah, true, I calculated with the (cheaper) yearly price. It is indeed more expensive if you don't pay the whole 4,339 Euros / year at once.
Deutsche Bahn employees can buy for 1 euro a 24 hours ticket to travel any train in German (ICE included) and bring someone else with them for free. That is the ticket for personal reasons.
If the travel is business related, then you always travel on first class to the destination. Among employees is very common/confortable to travel several times per week betwen locations.
The free day tickets for private use that every employee gets are limited to 16 a year (but only one a month is tax free) and don't allow to take someone with you.
By the way, not every employee can use first class for business related travel (many can).