338288560 has 40 divisors (see below), whose sum is σ = 791261856. Its totient is φ = 134499840.

The previous prime is 338288549. The next prime is 338288579. The reversal of 338288560 is 65882833.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×338288560² = 228878299653747200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 700 + ... + 26020.

Almost surely, 2^338288560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338288560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395630928).

338288560 is an abundant number, since it is smaller than the sum of its proper divisors (452973296).

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

338288560 is a wasteful number, since it uses less digits than its factorization.

338288560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25501 (or 25495 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 338288560 is about 18392.6224340087. The cubic root of 338288560 is about 696.7801508720.

The spelling of 338288560 in words is "three hundred thirty-eight million, two hundred eighty-eight thousand, five hundred sixty".