338921856 has 384 divisors, whose sum is σ = 1243045440. Its totient is φ = 86261760.

The previous prime is 338921851. The next prime is 338921857. The reversal of 338921856 is 658129833.

It is a happy number.

338921856 is a `hidden beast` number, since 3 + 389 + 218 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×338921856² = 229736048948969472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338921851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5556066 + ... + 5556126.

Almost surely, 2^338921856 is an apocalyptic number.

338921856 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 338921856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621522720).

338921856 is an abundant number, since it is smaller than the sum of its proper divisors (904123584).

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

338921856 is a wasteful number, since it uses less digits than its factorization.

338921856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 139 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 338921856 is about 18409.8304174699. The cubic root of 338921856 is about 697.2146842465.

The spelling of 338921856 in words is "three hundred thirty-eight million, nine hundred twenty-one thousand, eight hundred fifty-six".