In my volunteer county (VHF high band), our unit ID is displayed on the dispatcher's console when we key up. What actually happens is that a 4 digit ID (for example, my radio is C20A) is transmitted to the comm center, then it's aliased there to display "CHIEF 2" on the dispatcher's screen.
At work, our radio ID's (6 digit number) were engraved in the side of our XTS3000's. I am not sure if this is standard for /\/\, or if they did it because we purchased 7000 radios at once.