3205772032008 has 384 divisors, whose sum is σ = 10427619283200. Its totient is φ = 799606038528.

The previous prime is 3205772032003. The next prime is 3205772032093. The reversal of 3205772032008 is 8002302775023.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3205772032003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102809316 + ... + 102840492.

It is an arithmetic number, because the mean of its divisors is an integer number (27155258550).

Almost surely, 2^{3205772032008} 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 3205772032008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213809641600).

3205772032008 is an abundant number, since it is smaller than the sum of its proper divisors (7221847251192).

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

3205772032008 is a wasteful number, since it uses less digits than its factorization.

3205772032008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31341 (or 31314 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 3205772032008 in words is "three trillion, two hundred five billion, seven hundred seventy-two million, thirty-two thousand, eight".