those are called "culebras," and they were originally cigars the rollers took home with them. you can google up an interesting history of the culebras.
they're meant to be smoked individually, but from what i understand, that can be a bit of a challenge, as the individual sticks retain their braid-twisted shape when you take the trio apart. it's predominantly sold as a novelty cigar now. you might just want to hang on to it and not bother trying to smoke 'em!