38440814976 has 128 divisors (see below), whose sum is σ = 117366300000. Its totient is φ = 12371724288.

The previous prime is 38440814957. The next prime is 38440814977. The reversal of 38440814976 is 67941804483.

38440814976 is a `hidden beast` number, since 38 + 4 + 40 + 81 + 497 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38440814977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91551 + ... + 291998.

Almost surely, 2^38440814976 is an apocalyptic number.

38440814976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38440814976 is an abundant number, since it is smaller than the sum of its proper divisors (78925485024).

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

38440814976 is a wasteful number, since it uses less digits than its factorization.

38440814976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383601 (or 383583 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 38440814976 in words is "thirty-eight billion, four hundred forty million, eight hundred fourteen thousand, nine hundred seventy-six".