3206222383104 has 960 divisors, whose sum is σ = 10628486668800. Its totient is φ = 956916301824.

The previous prime is 3206222383093. The next prime is 3206222383123. The reversal of 3206222383104 is 4013832226023.

3206222383104 is a `hidden beast` number, since 3 + 2 + 0 + 622 + 23 + 8 + 3 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14377678737 + ... + 14377678959.

It is an arithmetic number, because the mean of its divisors is an integer number (11071340280).

Almost surely, 2^{3206222383104} 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 3206222383104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5314243334400).

3206222383104 is an abundant number, since it is smaller than the sum of its proper divisors (7422264285696).

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

3206222383104 is a wasteful number, since it uses less digits than its factorization.

3206222383104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 3206222383104 in words is "three trillion, two hundred six billion, two hundred twenty-two million, three hundred eighty-three thousand, one hundred four".