38910460730625 has 135 divisors (see below), whose sum is σ = 77207936572767. Its totient is φ = 18863182800000.

The previous prime is 38910460730573. The next prime is 38910460730639. The reversal of 38910460730625 is 52603706401983.

The square root of 38910460730625 is 6237825.

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

38910460730625 is a `hidden beast` number, since 3 + 8 + 9 + 1 + 0 + 4 + 6 + 0 + 7 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 36958605850881 + 1951854879744 = 6079359^2 + 1397088^2 .

It is not a de Polignac number, because 38910460730625 - 2¹¹ = 38910460728577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5146201845 + ... + 5146209405.

It is a 1-persistent number, because it is pandigital, but 2⋅38910460730625 = 77820921461250 is not.

Almost surely, 2^{38910460730625} is an apocalyptic number.

38910460730625 is the 6237825-th square number.

38910460730625 is the 3118913-rd centered octagonal number.

It is an amenable number.

38910460730625 is a deficient number, since it is larger than the sum of its proper divisors (38297475842142).

38910460730625 is an frugal number, since it uses more digits than its factorization.

38910460730625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15170 (or 7580 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 38910460730625 in words is "thirty-eight trillion, nine hundred ten billion, four hundred sixty million, seven hundred thirty thousand, six hundred twenty-five".