338813601320 has 128 divisors (see below), whose sum is σ = 795328934400. Its totient is φ = 129790688256.

The previous prime is 338813601307. The next prime is 338813601323. The reversal of 338813601320 is 23106318833.

It is a super-2 number, since 2×338813601320² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338813601323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25450826 + ... + 25464134.

It is an arithmetic number, because the mean of its divisors is an integer number (6213507300).

Almost surely, 2^338813601320 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 338813601320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397664467200).

338813601320 is an abundant number, since it is smaller than the sum of its proper divisors (456515333080).

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

338813601320 is a wasteful number, since it uses less digits than its factorization.

338813601320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13627 (or 13623 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 338813601320 in words is "three hundred thirty-eight billion, eight hundred thirteen million, six hundred one thousand, three hundred twenty".