37956780625 has 15 divisors (see below), whose sum is σ = 47436880183. Its totient is φ = 30361528000.

The previous prime is 37956780623. The next prime is 37956780629. The reversal of 37956780625 is 52608765973.

The square root of 37956780625 is 194825.

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

It can be written as a sum of positive squares in 7 ways, for example, as 6961065489 + 30995715136 = 83433^2 + 176056^2 .

It is not a de Polignac number, because 37956780625 - 2¹ = 37956780623 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 37956780625.

It is not an unprimeable number, because it can be changed into a prime (37956780623) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4866729 + ... + 4874521.

Almost surely, 2^37956780625 is an apocalyptic number.

37956780625 is the 194825-th square number.

37956780625 is the 97413-rd centered octagonal number.

It is an amenable number.

37956780625 is a deficient number, since it is larger than the sum of its proper divisors (9480099558).

37956780625 is an frugal number, since it uses more digits than its factorization.

37956780625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15606 (or 7798 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 58.

The spelling of 37956780625 in words is "thirty-seven billion, nine hundred fifty-six million, seven hundred eighty thousand, six hundred twenty-five".