3998320901568 has 672 divisors, whose sum is σ = 13492785612800. Its totient is φ = 1108546560000.

The previous prime is 3998320901557. The next prime is 3998320901581. The reversal of 3998320901568 is 8651090238993.

3998320901568 is a `hidden beast` number, since 39 + 9 + 8 + 32 + 0 + 9 + 0 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 7390611378 + ... + 7390611918.

Almost surely, 2^{3998320901568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3998320901568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6746392806400).

3998320901568 is an abundant number, since it is smaller than the sum of its proper divisors (9494464711232).

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

3998320901568 is a wasteful number, since it uses less digits than its factorization.

3998320901568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 3998320901568 in words is "three trillion, nine hundred ninety-eight billion, three hundred twenty million, nine hundred one thousand, five hundred sixty-eight".