338734080 has 132 divisors (see below), whose sum is σ = 1173864432. Its totient is φ = 90316800.

The previous prime is 338734063. The next prime is 338734093. The reversal of 338734080 is 80437833.

It is a super-2 number, since 2×338734080² = 229481553906892800, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 42405 + ... + 49755.

Almost surely, 2^338734080 is an apocalyptic number.

338734080 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 338734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586932216).

338734080 is an abundant number, since it is smaller than the sum of its proper divisors (835130352).

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

338734080 is a wasteful number, since it uses less digits than its factorization.

338734080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7382 (or 7361 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 338734080 is about 18404.7298268679. The cubic root of 338734080 is about 697.0858990334.

The spelling of 338734080 in words is "three hundred thirty-eight million, seven hundred thirty-four thousand, eighty".