377330625 has 135 divisors (see below), whose sum is σ = 814260447. Its totient is φ = 167832000.

The previous prime is 377330599. The next prime is 377330659. The reversal of 377330625 is 526033773.

It is a happy number.

The square root of 377330625 is 19425.

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 125283249 + 252047376 = 11193^2 + 15876^2 .

It is not a de Polignac number, because 377330625 - 2⁵ = 377330593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 377330625.

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 134 ways as a sum of consecutive naturals, for example, 10198107 + ... + 10198143.

Almost surely, 2^377330625 is an apocalyptic number.

377330625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

377330625 is the 19425-th square number.

377330625 is the 9713-rd centered octagonal number.

It is an amenable number.

377330625 is an abundant number, since it is smaller than the sum of its proper divisors (436929822).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

377330625 is an equidigital number, since it uses as much as digits as its factorization.

377330625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 36.

The cubic root of 377330625 is about 722.6156310503.

Multiplying 377330625 by its sum of digits (36), we get a square (13583902500 = 116550²).

The spelling of 377330625 in words is "three hundred seventy-seven million, three hundred thirty thousand, six hundred twenty-five".