34631633225 has 36 divisors (see below), whose sum is σ = 49994515548. Its totient is φ = 23728320000.

The previous prime is 34631633189. The next prime is 34631633237. The reversal of 34631633225 is 52233613643.

It can be written as a sum of positive squares in 6 ways, for example, as 57577744 + 34574055481 = 7588^2 + 185941^2 .

It is not a de Polignac number, because 34631633225 - 2³⁴ = 17451764041 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1607525 + ... + 1628925.

It is an arithmetic number, because the mean of its divisors is an integer number (1388736543).

Almost surely, 2^34631633225 is an apocalyptic number.

34631633225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34631633225 is a deficient number, since it is larger than the sum of its proper divisors (15362882323).

34631633225 is a wasteful number, since it uses less digits than its factorization.

34631633225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22746 (or 22734 counting only the distinct ones).

The product of its digits is 233280, while the sum is 38.

The spelling of 34631633225 in words is "thirty-four billion, six hundred thirty-one million, six hundred thirty-three thousand, two hundred twenty-five".