34333125264 has 75 divisors (see below), whose sum is σ = 99389335507. Its totient is φ = 11442151584.

The previous prime is 34333125247. The next prime is 34333125283. The reversal of 34333125264 is 46252133343.

The square root of 34333125264 is 185292.

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

34333125264 is a `hidden beast` number, since 3 + 43 + 331 + 25 + 264 = 666.

It is a super-3 number, since 3×34333125264³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6667939 + ... + 6673085.

Almost surely, 2^34333125264 is an apocalyptic number.

34333125264 is the 185292-nd square number.

It is an amenable number.

34333125264 is an abundant number, since it is smaller than the sum of its proper divisors (65056210243).

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

34333125264 is an frugal number, since it uses more digits than its factorization.

34333125264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10314 (or 5152 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

Multiplying 34333125264 by its sum of digits (36), we get a square (1235992509504 = 1111752²).

34333125264 divided by its sum of digits (36) gives a square (953697924 = 30882²).

The spelling of 34333125264 in words is "thirty-four billion, three hundred thirty-three million, one hundred twenty-five thousand, two hundred sixty-four".