385110756 has 18 divisors (see below), whose sum is σ = 973474502. Its totient is φ = 128370240.

The previous prime is 385110727. The next prime is 385110757. The reversal of 385110756 is 657011583.

It can be written as a sum of positive squares in only one way, i.e., 359709156 + 25401600 = 18966^2 + 5040^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 10697521 = 385110756 / (3 + 8 + 5 + 1 + 1 + 0 + 7 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 385110756.

It is not an unprimeable number, because it can be changed into a prime (385110757) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5348725 + ... + 5348796.

Almost surely, 2^385110756 is an apocalyptic number.

385110756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

385110756 is an abundant number, since it is smaller than the sum of its proper divisors (588363746).

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

385110756 is a wasteful number, since it uses less digits than its factorization.

385110756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10697531 (or 10697526 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 385110756 is about 19624.2389916144. The cubic root of 385110756 is about 727.5483880381.

The spelling of 385110756 in words is "three hundred eighty-five million, one hundred ten thousand, seven hundred fifty-six".