38904012081 has 81 divisors (see below), whose sum is σ = 63695794617. Its totient is φ = 22864176720.

The previous prime is 38904012073. The next prime is 38904012089. The reversal of 38904012081 is 18021040983.

The square root of 38904012081 is 197241.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (38904012073) and next prime (38904012089).

It is not a de Polignac number, because 38904012081 - 2³ = 38904012073 is a prime.

It is a super-2 number, since 2×38904012081² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38904012089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 279884910 + ... + 279885048.

Almost surely, 2^38904012081 is an apocalyptic number.

38904012081 is the 197241-st square number.

38904012081 is the 98621-st centered octagonal number.

It is an amenable number.

38904012081 is a deficient number, since it is larger than the sum of its proper divisors (24791782536).

38904012081 is a wasteful number, since it uses less digits than its factorization.

38904012081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 38904012081 by its sum of digits (36), we get a square (1400544434916 = 1183446²).

The spelling of 38904012081 in words is "thirty-eight billion, nine hundred four million, twelve thousand, eighty-one".