38976268800 has 480 divisors, whose sum is σ = 149007462912. Its totient is φ = 8796487680.

The previous prime is 38976268769. The next prime is 38976268817. The reversal of 38976268800 is 886267983.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22309527 + ... + 22311273.

Almost surely, 2^38976268800 is an apocalyptic number.

38976268800 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 38976268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74503731456).

38976268800 is an abundant number, since it is smaller than the sum of its proper divisors (110031194112).

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

38976268800 is a wasteful number, since it uses less digits than its factorization.

38976268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 38976268800 in words is "thirty-eight billion, nine hundred seventy-six million, two hundred sixty-eight thousand, eight hundred".