3797640625 has 63 divisors (see below), whose sum is σ = 5222530807. Its totient is φ = 2760800000.

The previous prime is 3797640617. The next prime is 3797640677. The reversal of 3797640625 is 5260467973.

The square root of 3797640625 is 61625.

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

It can be written as a sum of positive squares in 31 ways, for example, as 1499780529 + 2297860096 = 38727^2 + 47936^2 .

It is not a de Polignac number, because 3797640625 - 2³ = 3797640617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 130953111 + ... + 130953139.

Almost surely, 2^3797640625 is an apocalyptic number.

3797640625 is the 61625-th square number.

3797640625 is the 30813-rd centered octagonal number.

It is an amenable number.

3797640625 is a deficient number, since it is larger than the sum of its proper divisors (1424890182).

3797640625 is an frugal number, since it uses more digits than its factorization.

3797640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 49.

The cubic root of 3797640625 is about 1560.1677204342.

Multiplying 3797640625 by its sum of digits (49), we get a square (186084390625 = 431375²).

The spelling of 3797640625 in words is "three billion, seven hundred ninety-seven million, six hundred forty thousand, six hundred twenty-five".