34220500625 has 40 divisors (see below), whose sum is σ = 45509963400. Its totient is φ = 25633664000.

The previous prime is 34220500609. The next prime is 34220500631. The reversal of 34220500625 is 52600502243.

It can be written as a sum of positive squares in 20 ways, for example, as 29240658001 + 4979842624 = 170999^2 + 70568^2 .

It is not a de Polignac number, because 34220500625 - 2⁴ = 34220500609 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2084951 + ... + 2101299.

It is an arithmetic number, because the mean of its divisors is an integer number (1137749085).

Almost surely, 2^34220500625 is an apocalyptic number.

It is an amenable number.

34220500625 is a deficient number, since it is larger than the sum of its proper divisors (11289462775).

34220500625 is a wasteful number, since it uses less digits than its factorization.

34220500625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16583 (or 16568 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 34220500625 in words is "thirty-four billion, two hundred twenty million, five hundred thousand, six hundred twenty-five".