338430960 has 280 divisors, whose sum is σ = 1349898720. Its totient is φ = 77262336.

The previous prime is 338430929. The next prime is 338430977. The reversal of 338430960 is 69034833.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×338430960² = 229071029373043200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 407826 + ... + 408654.

Almost surely, 2^338430960 is an apocalyptic number.

338430960 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 338430960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674949360).

338430960 is an abundant number, since it is smaller than the sum of its proper divisors (1011467760).

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

338430960 is an equidigital number, since it uses as much as digits as its factorization.

338430960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 338430960 is about 18396.4931440750. The cubic root of 338430960 is about 696.8779052611.

The spelling of 338430960 in words is "three hundred thirty-eight million, four hundred thirty thousand, nine hundred sixty".