3990900326400 has 1800 divisors, whose sum is σ = 16794288082880. Its totient is φ = 928760463360.

The previous prime is 3990900326377. The next prime is 3990900326447. The reversal of 3990900326400 is 46230090993.

It is a tau number, because it is divible by the number of its divisors (1800).

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 119 ways as a sum of consecutive naturals, for example, 8194866957 + ... + 8194867443.

Almost surely, 2^{3990900326400} is an apocalyptic number.

3990900326400 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 3990900326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8397144041440).

3990900326400 is an abundant number, since it is smaller than the sum of its proper divisors (12803387756480).

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

3990900326400 is a wasteful number, since it uses less digits than its factorization.

3990900326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 3990900326400 in words is "three trillion, nine hundred ninety billion, nine hundred million, three hundred twenty-six thousand, four hundred".