338759378496 has 896 divisors, whose sum is σ = 1278111744000. Its totient is φ = 87218933760.

The previous prime is 338759378473. The next prime is 338759378579. The reversal of 338759378496 is 694873957833.

338759378496 is a `hidden beast` number, since 3 + 3 + 87 + 59 + 3 + 7 + 8 + 496 = 666.

338759378496 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338759378496² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1453902796 + ... + 1453903028.

It is an arithmetic number, because the mean of its divisors is an integer number (1426464000).

Almost surely, 2^338759378496 is an apocalyptic number.

338759378496 is a gapful number since it is divisible by the number (36) 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 338759378496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639055872000).

338759378496 is an abundant number, since it is smaller than the sum of its proper divisors (939352365504).

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

338759378496 is a wasteful number, since it uses less digits than its factorization.

338759378496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 479 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 338759378496 in words is "three hundred thirty-eight billion, seven hundred fifty-nine million, three hundred seventy-eight thousand, four hundred ninety-six".