Burmese is spoken in several countries that share a cultural and historical background. By learning Burmese, you will be able to travel relatively freely between these countries. Some languages are effectively sold throughout the world, and promoted as cropping up in very diverse places, but the Burmese language has remained relatively close to its country of origin.
Burma has had a very tumultuous economy, being released from British administration a matter of decades ago. In more recent times, both China and India have been working on strengthening business and economic ties with Burma. Learning the Burmese language could put you at the forefront of an economy that is just about to take off. There is a distinct lack of an educated workforce in Burma, with an influx of this kind of worker being very much in need. In terms of tourism, much of Burma is still considered off-limits and out of bounds to many tourists, so if you are considering learning the Burmese language, then it would be good to keep this in mind.