338016960 has 168 divisors, whose sum is σ = 1169858976. Its totient is φ = 89579520.

The previous prime is 338016929. The next prime is 338016971. The reversal of 338016960 is 69610833.

It is a happy number.

It is a super-2 number, since 2×338016960² = 228510930495283200, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693837 + ... + 694323.

Almost surely, 2^338016960 is an apocalyptic number.

338016960 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 338016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584929488).

338016960 is an abundant number, since it is smaller than the sum of its proper divisors (831842016).

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

338016960 is a wasteful number, since it uses less digits than its factorization.

338016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 338016960 is about 18385.2375562569. The cubic root of 338016960 is about 696.5936275109.

The spelling of 338016960 in words is "three hundred thirty-eight million, sixteen thousand, nine hundred sixty".