338290560 has 128 divisors (see below), whose sum is σ = 1198173600. Its totient is φ = 90206208.

The previous prime is 338290553. The next prime is 338290577. The reversal of 338290560 is 65092833.

338290560 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 90 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×338290560² = 228881005970227200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 7492 + ... + 27068.

Almost surely, 2^338290560 is an apocalyptic number.

338290560 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 338290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599086800).

338290560 is an abundant number, since it is smaller than the sum of its proper divisors (859883040).

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

338290560 is a wasteful number, since it uses less digits than its factorization.

338290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19605 (or 19587 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 338290560 is about 18392.6768035542. The cubic root of 338290560 is about 696.7815240169.

The spelling of 338290560 in words is "three hundred thirty-eight million, two hundred ninety thousand, five hundred sixty".