338398354224 has 480 divisors, whose sum is σ = 1187947537920. Its totient is φ = 87767027712.

The previous prime is 338398354141. The next prime is 338398354289. The reversal of 338398354224 is 422453893833.

It is a happy number.

338398354224 is a `hidden beast` number, since 3 + 3 + 8 + 3 + 98 + 3 + 542 + 2 + 4 = 666.

It is a super-2 number, since 2×338398354224² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43643532 + ... + 43651284.

It is an arithmetic number, because the mean of its divisors is an integer number (2474890704).

Almost surely, 2^338398354224 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 338398354224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593973768960).

338398354224 is an abundant number, since it is smaller than the sum of its proper divisors (849549183696).

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

338398354224 is a wasteful number, since it uses less digits than its factorization.

338398354224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7889 (or 7880 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 338398354224 in words is "three hundred thirty-eight billion, three hundred ninety-eight million, three hundred fifty-four thousand, two hundred twenty-four".