3432256955520 has 256 divisors, whose sum is σ = 11077033927680. Its totient is φ = 903840788480.

The previous prime is 3432256955497. The next prime is 3432256955549. The reversal of 3432256955520 is 255596522343.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585007627 + ... + 585013493.

It is an arithmetic number, because the mean of its divisors is an integer number (43269663780).

Almost surely, 2^{3432256955520} is an apocalyptic number.

3432256955520 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 3432256955520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538516963840).

3432256955520 is an abundant number, since it is smaller than the sum of its proper divisors (7644776972160).

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

3432256955520 is a wasteful number, since it uses less digits than its factorization.

3432256955520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9643 (or 9631 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 51.

The spelling of 3432256955520 in words is "three trillion, four hundred thirty-two billion, two hundred fifty-six million, nine hundred fifty-five thousand, five hundred twenty".