34415815225 has 27 divisors (see below), whose sum is σ = 46921813869. Its totient is φ = 25022263200.

The previous prime is 34415815211. The next prime is 34415815261. The reversal of 34415815225 is 52251851443.

It is a happy number.

The square root of 34415815225 is 185515.

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 9101732409 + 25314082816 = 95403^2 + 159104^2 .

It is not a de Polignac number, because 34415815225 - 2⁷ = 34415815097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10201639 + ... + 10205011.

Almost surely, 2^34415815225 is an apocalyptic number.

34415815225 is the 185515-th square number.

34415815225 is the 92758-th centered octagonal number.

It is an amenable number.

34415815225 is a deficient number, since it is larger than the sum of its proper divisors (12505998644).

34415815225 is an frugal number, since it uses more digits than its factorization.

34415815225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6778 (or 3389 counting only the distinct ones).

The product of its digits is 192000, while the sum is 40.

The spelling of 34415815225 in words is "thirty-four billion, four hundred fifteen million, eight hundred fifteen thousand, two hundred twenty-five".