338952705408 has 512 divisors, whose sum is σ = 1051807680000. Its totient is φ = 107366031360.

The previous prime is 338952705391. The next prime is 338952705449. The reversal of 338952705408 is 804507259833.

338952705408 is a `hidden beast` number, since 3 + 3 + 8 + 95 + 2 + 7 + 0 + 540 + 8 = 666.

338952705408 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 2×338952705408² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1260047098 + ... + 1260047366.

It is an arithmetic number, because the mean of its divisors is an integer number (2054311875).

Almost surely, 2^338952705408 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 338952705408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525903840000).

338952705408 is an abundant number, since it is smaller than the sum of its proper divisors (712854974592).

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

338952705408 is a wasteful number, since it uses less digits than its factorization.

338952705408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 338952705408 in words is "three hundred thirty-eight billion, nine hundred fifty-two million, seven hundred five thousand, four hundred eight".