338345856 has 128 divisors (see below), whose sum is σ = 1020326400. Its totient is φ = 110329344.

The previous prime is 338345837. The next prime is 338345857. The reversal of 338345856 is 658543833.

338345856 is a `hidden beast` number, since 3 + 38 + 34 + 585 + 6 = 666.

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

It is a super-2 number, since 2×338345856² = 228955836544745472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338345857) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 161391 + ... + 163473.

It is an arithmetic number, because the mean of its divisors is an integer number (7971300).

Almost surely, 2^338345856 is an apocalyptic number.

338345856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338345856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510163200).

338345856 is an abundant number, since it is smaller than the sum of its proper divisors (681980544).

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

338345856 is a wasteful number, since it uses less digits than its factorization.

338345856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2135 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 338345856 is about 18394.1799491035. The cubic root of 338345856 is about 696.8194865818.

The spelling of 338345856 in words is "three hundred thirty-eight million, three hundred forty-five thousand, eight hundred fifty-six".