3723645605625 has 135 divisors (see below), whose sum is σ = 7390812518089. Its totient is φ = 1804632060000.

The previous prime is 3723645605593. The next prime is 3723645605633. The reversal of 3723645605625 is 5265065463273.

The square root of 3723645605625 is 1929675.

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

3723645605625 is a `hidden beast` number, since 3 + 7 + 2 + 3 + 6 + 4 + 5 + 6 + 0 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 291933815481 + 3431711790144 = 540309^2 + 1852488^2 .

It is not a de Polignac number, because 3723645605625 - 2⁵ = 3723645605593 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, 1591980706 + ... + 1591983044.

Almost surely, 2^{3723645605625} is an apocalyptic number.

3723645605625 is the 1929675-th square number.

3723645605625 is the 964838-th centered octagonal number.

It is an amenable number.

3723645605625 is a deficient number, since it is larger than the sum of its proper divisors (3667166912464).

3723645605625 is an frugal number, since it uses more digits than its factorization.

3723645605625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 54.

The spelling of 3723645605625 in words is "three trillion, seven hundred twenty-three billion, six hundred forty-five million, six hundred five thousand, six hundred twenty-five".