What type of machine prints logos on certain promotional items?

[Terry S]

I recently received a plastic calculator as a promotional gift from a company. Their logo was printed on it. At first I thought it was simply a clear label but that wasn't the case. Then I thought perhaps it was simply some sort of paint but when I put my fingernail across it, the logo stayed protected from any damage. I've seen similar print jobs/logos done on frisbees, alarm clocks etc. Does anyone know what kind of printing method is needed for something like this and what the cost would be to purchase such a machine. Thanks in advance.