Anything bureaucratic has to do with the business of running an organization — usually not in a very efficient manner.
If there are bureaucrats or a bureaucracy involved, go ahead and call it bureaucratic. This adjective is used in a negative sense to describe a person or organization more concerned with following procedures than being guided by common sense. Bureaucratic things usually involve loads of paperwork and nonsensical rules, otherwise known as "red tape" — a connection that originated in the 17th century when official documents were bound together with actual red tape.