385814688 has 192 divisors, whose sum is σ = 1213470720. Its totient is φ = 105034752.

The previous prime is 385814683. The next prime is 385814701. The reversal of 385814688 is 886418583.

It is a self number, because there is not a number n which added to its sum of digits gives 385814688.

It is not an unprimeable number, because it can be changed into a prime (385814683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1466845 + ... + 1467107.

It is an arithmetic number, because the mean of its divisors is an integer number (6320160).

Almost surely, 2^385814688 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 385814688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606735360).

385814688 is an abundant number, since it is smaller than the sum of its proper divisors (827656032).

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

385814688 is a wasteful number, since it uses less digits than its factorization.

385814688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 51.

The square root of 385814688 is about 19642.1660719993. The cubic root of 385814688 is about 727.9914059284.

The spelling of 385814688 in words is "three hundred eighty-five million, eight hundred fourteen thousand, six hundred eighty-eight".