3990581253120 has 1056 divisors, whose sum is σ = 16447658231808. Its totient is φ = 802234368000.

The previous prime is 3990581253101. The next prime is 3990581253247. The reversal of 3990581253120 is 213521850993.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3990581253120.

It is a congruent number.

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, 1136592165 + ... + 1136595675.

Almost surely, 2^{3990581253120} is an apocalyptic number.

3990581253120 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 3990581253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8223829115904).

3990581253120 is an abundant number, since it is smaller than the sum of its proper divisors (12457076978688).

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

3990581253120 is a wasteful number, since it uses less digits than its factorization.

3990581253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3570 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 3990581253120 in words is "three trillion, nine hundred ninety billion, five hundred eighty-one million, two hundred fifty-three thousand, one hundred twenty".