3250544976000 has 768 divisors, whose sum is σ = 14126014206720. Its totient is φ = 699273216000.

The previous prime is 3250544975989. The next prime is 3250544976011. The reversal of 3250544976000 is 6794450523.

3250544976000 is a `hidden beast` number, since 3 + 2 + 50 + 54 + 497 + 60 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3250544975989) and next prime (3250544976011).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17041155 + ... + 17230845.

It is an arithmetic number, because the mean of its divisors is an integer number (18393247665).

Almost surely, 2^{3250544976000} is an apocalyptic number.

3250544976000 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 3250544976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7063007103360).

3250544976000 is an abundant number, since it is smaller than the sum of its proper divisors (10875469230720).

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

3250544976000 is a wasteful number, since it uses less digits than its factorization.

3250544976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189750 (or 189725 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 3250544976000 in words is "three trillion, two hundred fifty billion, five hundred forty-four million, nine hundred seventy-six thousand".