3990598268580 has 864 divisors, whose sum is σ = 16347485306880. Its totient is φ = 768831782400.

The previous prime is 3990598268549. The next prime is 3990598268603. The reversal of 3990598268580 is 858628950993.

3990598268580 is a `hidden beast` number, since 3 + 9 + 9 + 0 + 598 + 26 + 8 + 5 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3990598268499 and 3990598268508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 136132125 + ... + 136161435.

Almost surely, 2^{3990598268580} is an apocalyptic number.

3990598268580 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 3990598268580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8173742653440).

3990598268580 is an abundant number, since it is smaller than the sum of its proper divisors (12356887038300).

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

3990598268580 is a wasteful number, since it uses less digits than its factorization.

3990598268580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29421 (or 29405 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 3990598268580 in words is "three trillion, nine hundred ninety billion, five hundred ninety-eight million, two hundred sixty-eight thousand, five hundred eighty".