338430735504 has 45 divisors (see below), whose sum is σ = 947155554163. Its totient is φ = 112807918176.

The previous prime is 338430735463. The next prime is 338430735571. The reversal of 338430735504 is 405537034833.

The square root of 338430735504 is 581748.

It is a perfect power (a square), and thus also a powerful number.

338430735504 is a `hidden beast` number, since 3 + 3 + 84 + 30 + 7 + 35 + 504 = 666.

It is a super-2 number, since 2×338430735504² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 338430735504.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6956737 + ... + 7005215.

Almost surely, 2^338430735504 is an apocalyptic number.

338430735504 is the 581748-th square number.

It is an amenable number.

338430735504 is an abundant number, since it is smaller than the sum of its proper divisors (608724818659).

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

338430735504 is an frugal number, since it uses more digits than its factorization.

338430735504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96972 (or 48484 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 338430735504 in words is "three hundred thirty-eight billion, four hundred thirty million, seven hundred thirty-five thousand, five hundred four".