Hey, I feel that. Lots of people think I'm a flake. And I use the word "inverted" frequently to describe my state to my friends/girlfriend/clients when it gets too far outside social norms ;)
Just a piece of unsolicited advice: I learned to make a virtue out of it. I'm a solo software dev and I have to maintain big pieces of code that run 24/7. Well, my virtue is that I've been available 24/7 to my clients for the last 20 years. And one of the results of that has been that they've never abandoned me and gone to larger companies to deal with software issues. My own schedule is so variable, it doesn't really matter if I'm asleep or awake or what time zone they're in; if it's not urgent, it goes into my inbox, but if it's urgent, I usually answer the phone immediately. Part of this has been adding layers of support forms so I don't have to wake up to every phone call. But the people who have my cell number get through right away.
The result of that is that I basically get paid $300 every time I have to wake up, which is soul-soothing enough to prevent me from being angry. And the rest of the time I can sleep whenever I feel like it.
Being on a 32:12 hour cycle could have massive rewards. Clients are extremely appreciative, especially if you break your sleep for something important. Like, don't be afraid to tell your clients about your sleep cycle. Getting through admitting that was probably the biggest breakthrough of my career. My girlfriend loves that I'm still up working and make her breakfast at 4am when she's headed for work some days, or make her dinner when she comes home at night others. It's always a surprise, I tell her. You just have to find people who appreciate the energy you bring.
Yes, the "straight world" of people with 9-5 jobs and kids absolutely abhors this lifestyle and thinks it's irresponsible and flakey. But then again, they don't get paid $300 for waking up in the middle of the day ;) My friends (and girlfriends) are lyft drivers, waiters, coders, night shift workers, and other people who spurn daylight society. We are legion.