38386605625 has 45 divisors (see below), whose sum is σ = 51066294961. Its totient is φ = 28840160000.

The previous prime is 38386605623. The next prime is 38386605641. The reversal of 38386605625 is 52650668383.

The square root of 38386605625 is 195925.

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

It can be written as a sum of positive squares in 22 ways, for example, as 37263283369 + 1123322256 = 193037^2 + 33516^2 .

It is not a de Polignac number, because 38386605625 - 2¹ = 38386605623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38386605623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 83267895 + ... + 83268355.

Almost surely, 2^38386605625 is an apocalyptic number.

38386605625 is the 195925-th square number.

38386605625 is the 97963-rd centered octagonal number.

It is an amenable number.

38386605625 is a deficient number, since it is larger than the sum of its proper divisors (12679689336).

38386605625 is an frugal number, since it uses more digits than its factorization.

38386605625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 38386605625 in words is "thirty-eight billion, three hundred eighty-six million, six hundred five thousand, six hundred twenty-five".