34718904675625 has 45 divisors (see below), whose sum is σ = 44228713992771. Its totient is φ = 27244936836000.

The previous prime is 34718904675617. The next prime is 34718904675643. The reversal of 34718904675625 is 52657640981743.

The square root of 34718904675625 is 5892275.

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

It can be written as a sum of positive squares in 7 ways, for example, as 19264980077721 + 15453924597904 = 4389189^2 + 3931148^2 .

It is not a de Polignac number, because 34718904675625 - 2³ = 34718904675617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7807262152 + ... + 7807266598.

It is a 2-persistent number, because it is pandigital, and so is 2⋅34718904675625 = 69437809351250, but 3⋅34718904675625 = 104156714026875 is not.

Almost surely, 2^{34718904675625} is an apocalyptic number.

34718904675625 is the 5892275-th square number.

34718904675625 is the 2946138-th centered octagonal number.

It is an amenable number.

34718904675625 is a deficient number, since it is larger than the sum of its proper divisors (9509809317146).

34718904675625 is an frugal number, since it uses more digits than its factorization.

34718904675625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9020 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 67.

The spelling of 34718904675625 in words is "thirty-four trillion, seven hundred eighteen billion, nine hundred four million, six hundred seventy-five thousand, six hundred twenty-five".