3763597825 has 48 divisors (see below), whose sum is σ = 5136737200. Its totient is φ = 2718489600.

The previous prime is 3763597813. The next prime is 3763597837. The reversal of 3763597825 is 5287953673.

3763597825 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3763597813) and next prime (3763597837).

It can be written as a sum of positive squares in 24 ways, for example, as 3068273664 + 695324161 = 55392^2 + 26369^2 .

It is not a de Polignac number, because 3763597825 - 2⁵ = 3763597793 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4539511 + ... + 4540339.

Almost surely, 2^3763597825 is an apocalyptic number.

It is an amenable number.

3763597825 is a deficient number, since it is larger than the sum of its proper divisors (1373139375).

3763597825 is a wasteful number, since it uses less digits than its factorization.

3763597825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1137 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 55.

The square root of 3763597825 is about 61348.1688805787. The cubic root of 3763597825 is about 1555.4918368505.

It can be divided in two parts, 37635 and 97825, that added together give a triangular number (135460 = T₅₂₀).

The spelling of 3763597825 in words is "three billion, seven hundred sixty-three million, five hundred ninety-seven thousand, eight hundred twenty-five".