It can found a cult - imagine something like Scientology founded by an AI. Once it has human followers it can act in the world with total freedom.
And it would not be limited to act as the cult leaders, it could also provide fake cult followers that would convince the humans that the leaders possessed superhuman wisdom.
It could also combine this with a full machinery for A/B-testing and similar experiments to ensure that the message it is communicating is optimal in terms of its goals.