3152858808960 has 1024 divisors, whose sum is σ = 13547282918400. Its totient is φ = 676504535040.

The previous prime is 3152858808949. The next prime is 3152858808973. The reversal of 3152858808960 is 698088582513.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 890384790 + ... + 890388330.

It is an arithmetic number, because the mean of its divisors is an integer number (13229768475).

Almost surely, 2^{3152858808960} is an apocalyptic number.

3152858808960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3152858808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773641459200).

3152858808960 is an abundant number, since it is smaller than the sum of its proper divisors (10394424109440).

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

3152858808960 is a wasteful number, since it uses less digits than its factorization.

3152858808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4026 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 3152858808960 in words is "three trillion, one hundred fifty-two billion, eight hundred fifty-eight million, eight hundred eight thousand, nine hundred sixty".