3998904539520 has 1024 divisors, whose sum is σ = 14422887475200. Its totient is φ = 934281216000.

The previous prime is 3998904539467. The next prime is 3998904539551. The reversal of 3998904539520 is 259354098993.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20719712544 + ... + 20719712736.

It is an arithmetic number, because the mean of its divisors is an integer number (14084851050).

Almost surely, 2^{3998904539520} is an apocalyptic number.

3998904539520 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 3998904539520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211443737600).

3998904539520 is an abundant number, since it is smaller than the sum of its proper divisors (10423982935680).

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

3998904539520 is a wasteful number, since it uses less digits than its factorization.

3998904539520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 94478400, while the sum is 66.

The spelling of 3998904539520 in words is "three trillion, nine hundred ninety-eight billion, nine hundred four million, five hundred thirty-nine thousand, five hundred twenty".