338391947520 has 432 divisors, whose sum is σ = 1289007720000. Its totient is φ = 81278484480.

The previous prime is 338391947513. The next prime is 338391947539. The reversal of 338391947520 is 25749193833.

338391947520 is a `hidden beast` number, since 3 + 3 + 83 + 91 + 9 + 475 + 2 + 0 = 666.

It is a super-2 number, since 2×338391947520² (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 47 ways as a sum of consecutive naturals, for example, 13800231 + ... + 13824729.

Almost surely, 2^338391947520 is an apocalyptic number.

338391947520 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 338391947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644503860000).

338391947520 is an abundant number, since it is smaller than the sum of its proper divisors (950615772480).

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

338391947520 is a wasteful number, since it uses less digits than its factorization.

338391947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24646 (or 24629 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 338391947520 in words is "three hundred thirty-eight billion, three hundred ninety-one million, nine hundred forty-seven thousand, five hundred twenty".