385366176 has 72 divisors (see below), whose sum is σ = 1180195380. Its totient is φ = 118573056.

The previous prime is 385366169. The next prime is 385366243. The reversal of 385366176 is 671663583.

It can be written as a sum of positive squares in 2 ways, for example, as 379314576 + 6051600 = 19476^2 + 2460^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 47721 + ... + 55208.

Almost surely, 2^385366176 is an apocalyptic number.

385366176 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

385366176 is an abundant number, since it is smaller than the sum of its proper divisors (794829204).

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

385366176 is a wasteful number, since it uses less digits than its factorization.

385366176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102958 (or 102947 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 385366176 is about 19630.7456812012. The cubic root of 385366176 is about 727.7091983490.

The spelling of 385366176 in words is "three hundred eighty-five million, three hundred sixty-six thousand, one hundred seventy-six".