34791575625 has 75 divisors (see below), whose sum is σ = 65023397571. Its totient is φ = 18533124000.

The previous prime is 34791575597. The next prime is 34791575627. The reversal of 34791575625 is 52657519743.

It is a happy number.

The square root of 34791575625 is 186525.

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

34791575625 is a `hidden beast` number, since 3 + 4 + 7 + 9 + 1 + 5 + 7 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 24419375289 + 10372200336 = 156267^2 + 101844^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 34791575625 - 2²⁹ = 34254704713 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34791575627) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 41967711 + ... + 41968539.

Almost surely, 2^34791575625 is an apocalyptic number.

34791575625 is the 186525-th square number.

34791575625 is the 93263-rd centered octagonal number.

It is an amenable number.

34791575625 is a deficient number, since it is larger than the sum of its proper divisors (30231821946).

34791575625 is an frugal number, since it uses more digits than its factorization.

34791575625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 837 counting only the distinct ones).

The product of its digits is 7938000, while the sum is 54.

The spelling of 34791575625 in words is "thirty-four billion, seven hundred ninety-one million, five hundred seventy-five thousand, six hundred twenty-five".