3221023200320 has 112 divisors (see below), whose sum is σ = 8129776433328. Its totient is φ = 1211346124800.

The previous prime is 3221023200319. The next prime is 3221023200349. The reversal of 3221023200320 is 230023201223.

It can be written as a sum of positive squares in 8 ways, for example, as 239488869376 + 2981534330944 = 489376^2 + 1726712^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3221023200292 and 3221023200301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4873670 + ... + 5494970.

Almost surely, 2^{3221023200320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221023200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064888216664).

3221023200320 is an abundant number, since it is smaller than the sum of its proper divisors (4908753233008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3221023200320 is a wasteful number, since it uses less digits than its factorization.

3221023200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622288 (or 622278 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 3221023200320 its reverse (230023201223), we get a palindrome (3451046401543).

The spelling of 3221023200320 in words is "three trillion, two hundred twenty-one billion, twenty-three million, two hundred thousand, three hundred twenty".