385110656 has 128 divisors (see below), whose sum is σ = 940325760. Its totient is φ = 153354240.

The previous prime is 385110653. The next prime is 385110679. The reversal of 385110656 is 656011583.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (385110653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1995296 + ... + 1995488.

It is an arithmetic number, because the mean of its divisors is an integer number (7346295).

Almost surely, 2^385110656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385110656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470162880).

385110656 is an abundant number, since it is smaller than the sum of its proper divisors (555215104).

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

385110656 is a wasteful number, since it uses less digits than its factorization.

385110656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 385110656 is about 19624.2364437448. The cubic root of 385110656 is about 727.5483250650.

The spelling of 385110656 in words is "three hundred eighty-five million, one hundred ten thousand, six hundred fifty-six".