395430737625 has 768 divisors, whose sum is σ = 994310553600. Its totient is φ = 151227648000.

The previous prime is 395430737623. The next prime is 395430737701. The reversal of 395430737625 is 526737034593.

395430737625 is a `hidden beast` number, since 3 + 9 + 5 + 4 + 3 + 0 + 7 + 3 + 7 + 625 = 666.

It is not a de Polignac number, because 395430737625 - 2¹ = 395430737623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (395430737623) by changing a digit.

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 767 ways as a sum of consecutive naturals, for example, 3839133324 + ... + 3839133426.

It is an arithmetic number, because the mean of its divisors is an integer number (1294675200).

Almost surely, 2^395430737625 is an apocalyptic number.

395430737625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

395430737625 is an abundant number, since it is smaller than the sum of its proper divisors (598879815975).

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

395430737625 is a wasteful number, since it uses less digits than its factorization.

395430737625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 54.

The spelling of 395430737625 in words is "three hundred ninety-five billion, four hundred thirty million, seven hundred thirty-seven thousand, six hundred twenty-five".