338762856 has 128 divisors (see below), whose sum is σ = 923788800. Its totient is φ = 103184640.

The previous prime is 338762843. The next prime is 338762857. The reversal of 338762856 is 658267833.

It is a super-2 number, since 2×338762856² = 229520545210553472, which contains 22 as substring.

Its product of digits (1451520) is a multiple of the sum of its prime divisors (315).

It is not an unprimeable number, because it can be changed into a prime (338762857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2585911 + ... + 2586041.

It is an arithmetic number, because the mean of its divisors is an integer number (7217100).

Almost surely, 2^338762856 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 338762856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461894400).

338762856 is an abundant number, since it is smaller than the sum of its proper divisors (585025944).

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

338762856 is a wasteful number, since it uses less digits than its factorization.

338762856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 338762856 is about 18405.5115658327. The cubic root of 338762856 is about 697.1056379939.

The spelling of 338762856 in words is "three hundred thirty-eight million, seven hundred sixty-two thousand, eight hundred fifty-six".