There are only "three degrees" in the Masonic hierarchy. A Freemason who has been raised to the third degree (Master Mason) has attained the highest level of Freemasonry. All Master Masons are peers, though some hold other offices (such as Worshipful Master of a Lodge, or District Deputy Grand Master, or similar). No one ever 'rises higher' than the third degree.
The only time a Master Mason might write his name followed by 32° is for Scottish Rite business. There is no such thing as a 32° Master Mason or a 33° Master Mason. It is recommended that if you feel it is important to impress your audience be it verbal or written that you are something more than a 3° Master Mason, then qualify your identity as a "32° SCOTTISH RITE Mason."