34419525625 has 45 divisors (see below), whose sum is σ = 44330176209. Its totient is φ = 26715600000.

The previous prime is 34419525611. The next prime is 34419525661. The reversal of 34419525625 is 52652591443.

The square root of 34419525625 is 185525.

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

It can be written as a sum of positive squares in 22 ways, for example, as 62678889 + 34356846736 = 7917^2 + 185356^2 .

It is not a de Polignac number, because 34419525625 - 2⁹ = 34419525113 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, 190163035 + ... + 190163215.

Almost surely, 2^34419525625 is an apocalyptic number.

34419525625 is the 185525-th square number.

34419525625 is the 92763-rd centered octagonal number.

It is an amenable number.

34419525625 is a deficient number, since it is larger than the sum of its proper divisors (9910650584).

34419525625 is an frugal number, since it uses more digits than its factorization.

34419525625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 227 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 46.

The spelling of 34419525625 in words is "thirty-four billion, four hundred nineteen million, five hundred twenty-five thousand, six hundred twenty-five".