338560560 has 200 divisors, whose sum is σ = 1266637680. Its totient is φ = 83317248.

The previous prime is 338560549. The next prime is 338560561. The reversal of 338560560 is 65065833.

338560560 is a `hidden beast` number, since 3 + 38 + 5 + 60 + 560 = 666.

338560560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338560560² = 229246505575027200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (338560561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82231 + ... + 86249.

Almost surely, 2^338560560 is an apocalyptic number.

338560560 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 338560560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633318840).

338560560 is an abundant number, since it is smaller than the sum of its proper divisors (928077120).

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

338560560 is a wasteful number, since it uses less digits than its factorization.

338560560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 338560560 is about 18400.0152173850. The cubic root of 338560560 is about 696.9668489070.

The spelling of 338560560 in words is "three hundred thirty-eight million, five hundred sixty thousand, five hundred sixty".