339344008593408 has 1440 divisors, whose sum is σ = 1249508245020672. Its totient is φ = 86327584358400.

The previous prime is 339344008593389. The next prime is 339344008593413. The reversal of 339344008593408 is 804395800443933.

339344008593408 is a `hidden beast` number, since 3 + 3 + 9 + 34 + 4 + 0 + 0 + 8 + 593 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×339344008593408² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 146838600573 + ... + 146838602883.

Almost surely, 2^{339344008593408} 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 339344008593408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624754122510336).

339344008593408 is an abundant number, since it is smaller than the sum of its proper divisors (910164236427264).

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

339344008593408 is a wasteful number, since it uses less digits than its factorization.

339344008593408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 339344008593408 in words is "three hundred thirty-nine trillion, three hundred forty-four billion, eight million, five hundred ninety-three thousand, four hundred eight".