338578560 has 192 divisors, whose sum is σ = 1197218880. Its totient is φ = 88123392.

The previous prime is 338578543. The next prime is 338578589. The reversal of 338578560 is 65875833.

338578560 is a `hidden beast` number, since 3 + 3 + 85 + 7 + 8 + 560 = 666.

338578560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×338578560² = 229270882583347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 246997 + ... + 248363.

It is an arithmetic number, because the mean of its divisors is an integer number (6235515).

Almost surely, 2^338578560 is an apocalyptic number.

338578560 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 338578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598609440).

338578560 is an abundant number, since it is smaller than the sum of its proper divisors (858640320).

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

338578560 is a wasteful number, since it uses less digits than its factorization.

338578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 338578560 is about 18400.5043409141. The cubic root of 338578560 is about 696.9792003959.

The spelling of 338578560 in words is "three hundred thirty-eight million, five hundred seventy-eight thousand, five hundred sixty".