338929920 has 360 divisors, whose sum is σ = 1388971584. Its totient is φ = 77303808.

The previous prime is 338929907. The next prime is 338929967. The reversal of 338929920 is 29929833.

338929920 is a `hidden beast` number, since 338 + 9 + 299 + 20 = 666.

338929920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×338929920² = 229746981342412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725527 + ... + 725993.

Almost surely, 2^338929920 is an apocalyptic number.

338929920 is a gapful number since it is divisible by the number (30) 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 338929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694485792).

338929920 is an abundant number, since it is smaller than the sum of its proper divisors (1050041664).

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

338929920 is an equidigital number, since it uses as much as digits as its factorization.

338929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 338929920 is about 18410.0494295914. The cubic root of 338929920 is about 697.2202138344.

The spelling of 338929920 in words is "three hundred thirty-eight million, nine hundred twenty-nine thousand, nine hundred twenty".