338760564 has 48 divisors (see below), whose sum is σ = 840647808. Its totient is φ = 105806848.

The previous prime is 338760563. The next prime is 338760593. The reversal of 338760564 is 465067833.

It is a super-2 number, since 2×338760564² = 229517439443196192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338760563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43969 + ... + 51095.

It is an arithmetic number, because the mean of its divisors is an integer number (17513496).

Almost surely, 2^338760564 is an apocalyptic number.

338760564 is a gapful number since it is divisible by the number (34) 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 338760564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420323904).

338760564 is an abundant number, since it is smaller than the sum of its proper divisors (501887244).

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

338760564 is a wasteful number, since it uses less digits than its factorization.

338760564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7384 (or 7382 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 338760564 is about 18405.4493017693. The cubic root of 338760564 is about 697.1040658324.

The spelling of 338760564 in words is "three hundred thirty-eight million, seven hundred sixty thousand, five hundred sixty-four".