34796726265625 has 63 divisors (see below), whose sum is σ = 44620854998089. Its totient is φ = 27134825000000.

The previous prime is 34796726265617. The next prime is 34796726265709. The reversal of 34796726265625 is 52656262769743.

The square root of 34796726265625 is 5898875.

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

It can be written as a sum of positive squares in 10 ways, for example, as 10483109244169 + 24313617021456 = 3237763^2 + 4930884^2 .

It is not a de Polignac number, because 34796726265625 - 2³ = 34796726265617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 30231733800 + ... + 30231734950.

Almost surely, 2^{34796726265625} is an apocalyptic number.

34796726265625 is the 5898875-th square number.

34796726265625 is the 2949438-th centered octagonal number.

It is an amenable number.

34796726265625 is a deficient number, since it is larger than the sum of its proper divisors (9824128732464).

34796726265625 is an frugal number, since it uses more digits than its factorization.

34796726265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 1197 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 70.

The spelling of 34796726265625 in words is "thirty-four trillion, seven hundred ninety-six billion, seven hundred twenty-six million, two hundred sixty-five thousand, six hundred twenty-five".