38007452025 has 81 divisors (see below), whose sum is σ = 69997255783. Its totient is φ = 19713849600.

The previous prime is 38007451991. The next prime is 38007452033. The reversal of 38007452025 is 52025470083.

The square root of 38007452025 is 194955.

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

38007452025 is a `hidden beast` number, since 380 + 0 + 74 + 5 + 202 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 30300016761 + 7707435264 = 174069^2 + 87792^2 .

It is not a de Polignac number, because 38007452025 - 2¹³ = 38007443833 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 119897167 + ... + 119897483.

Almost surely, 2^38007452025 is an apocalyptic number.

38007452025 is the 194955-th square number.

38007452025 is the 97478-th centered octagonal number.

It is an amenable number.

38007452025 is a deficient number, since it is larger than the sum of its proper divisors (31989803758).

38007452025 is an equidigital number, since it uses as much as digits as its factorization.

38007452025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Multiplying 38007452025 by its sum of digits (36), we get a square (1368268272900 = 1169730²).

The spelling of 38007452025 in words is "thirty-eight billion, seven million, four hundred fifty-two thousand, twenty-five".