34117045264 has 45 divisors (see below), whose sum is σ = 67292068311. Its totient is φ = 16756709760.

The previous prime is 34117045253. The next prime is 34117045283. The reversal of 34117045264 is 46254071143.

The square root of 34117045264 is 184708.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7420099600 + 26696945664 = 86140^2 + 163392^2 .

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, 45068374 + ... + 45069130.

Almost surely, 2^34117045264 is an apocalyptic number.

34117045264 is the 184708-th square number.

It is an amenable number.

34117045264 is a deficient number, since it is larger than the sum of its proper divisors (33175023047).

34117045264 is an frugal number, since it uses more digits than its factorization.

34117045264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 34117045264 in words is "thirty-four billion, one hundred seventeen million, forty-five thousand, two hundred sixty-four".