38334507264 has 81 divisors (see below), whose sum is σ = 110554938403. Its totient is φ = 12775036416.

The previous prime is 38334507257. The next prime is 38334507283. The reversal of 38334507264 is 46270543383.

The square root of 38334507264 is 195792.

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

38334507264 is a `hidden beast` number, since 3 + 8 + 334 + 50 + 7 + 264 = 666.

It is a Duffinian number.

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, 9395977 + ... + 9400055.

Almost surely, 2^38334507264 is an apocalyptic number.

38334507264 is the 195792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38334507264

38334507264 is an abundant number, since it is smaller than the sum of its proper divisors (72220431139).

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

38334507264 is an frugal number, since it uses more digits than its factorization.

38334507264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8180 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 38334507264 in words is "thirty-eight billion, three hundred thirty-four million, five hundred seven thousand, two hundred sixty-four".