338616656 has 60 divisors (see below), whose sum is σ = 765570420. Its totient is φ = 144668160.

The previous prime is 338616653. The next prime is 338616661. The reversal of 338616656 is 656616833.

It can be written as a sum of positive squares in 2 ways, for example, as 144961600 + 193655056 = 12040^2 + 13916^2 .

It is a super-2 number, since 2×338616656² = 229322479441244672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338616653) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 408050 + ... + 408878.

It is an arithmetic number, because the mean of its divisors is an integer number (12759507).

Almost surely, 2^338616656 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 338616656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382785210).

338616656 is an abundant number, since it is smaller than the sum of its proper divisors (426953764).

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

338616656 is a wasteful number, since it uses less digits than its factorization.

338616656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1359 counting only the distinct ones).

The product of its digits is 466560, while the sum is 44.

The square root of 338616656 is about 18401.5395008135. The cubic root of 338616656 is about 697.0053401922.

The spelling of 338616656 in words is "three hundred thirty-eight million, six hundred sixteen thousand, six hundred fifty-six".