First, if you won that much, there is NO way you could blow through that amount of dough. Invest in 10-year Treasuries at 3% and your annual INCOME would be $9 million+. Pretty damn hard to 'blow' through all $380M no matter how hard you try.
Second, as others have said, TVM is a *****. A dollar 25 years in the future isn't worth nearly as much as a dollar today (especially at 9% inflation). Add in higher income taxes, possible 'annual wealth tax', higher estate taxes, etc. Take the cash today and figure it out.
A. Would you take it all at once, or take the 30 year income stream? Already answered - all at once
B. Would you quit your job? Without a doubt and I really like my job. But there's a whole bunch of the world I'd like to see while I'm still in really good physical shape.
C. Would you move to another location? Live in CO - would depend on where my kids end up (one in Denver, one in Boston). I want to be near at least one of them. Would not buy another home. With that kind of dough, I can rent anyplace I want for any amount of time and not have the hassle of taxes, upkeep, security, etc.
D. Would you donate to charities and other worthy causes? Of course - after setting up my kids with a trust for the max gift tax exemption (~$12 million/person). Gary Sinise Foundation and St. Jude's have been the recipient of our larger donations annually. Local food banks, homeless shelters, animal rescue and, most likely, ALS Foundation. I would definitely set up charitable foundation and have my kids help me run it.
E. Name some crazy "ish" you would do with it? I'd definitely have a lot more guitars and a nice recording setup in my home so, whenever the Muse strikes, I've got the ability to record stuff. I'd take a lot of tennis lessons as I'm getting frustrated with the level I'm at. I'd take the family on a lot more vacations. Australia/New Zealand for a month or more would be #1 then Italy/Spain/Austria/Switzerland. Honestly, I'd have a hard time spending just the income from a lump sum like that. Spending $100k a month seems like fantasyland to me so spending 7X that amount EVERY month seems unrealistic. I'd also certainly be one of those guys who own a timeshare of a private plane and rarely, if ever, fly commercial again unless going overseas.