38980637568 has 192 divisors, whose sum is σ = 114680966400. Its totient is φ = 12705997824.

The previous prime is 38980637539. The next prime is 38980637573. The reversal of 38980637568 is 86573608983.

38980637568 is a `hidden beast` number, since 3 + 8 + 9 + 8 + 0 + 63 + 7 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9735855 + ... + 9739857.

It is an arithmetic number, because the mean of its divisors is an integer number (597296700).

Almost surely, 2^38980637568 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 38980637568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57340483200).

38980637568 is an abundant number, since it is smaller than the sum of its proper divisors (75700328832).

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

38980637568 is a wasteful number, since it uses less digits than its factorization.

38980637568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 38980637568 in words is "thirty-eight billion, nine hundred eighty million, six hundred thirty-seven thousand, five hundred sixty-eight".