34909380825 has 48 divisors (see below), whose sum is σ = 63050131200. Its totient is φ = 16902561600.

The previous prime is 34909380809. The next prime is 34909380851. The reversal of 34909380825 is 52808390943.

It is not a de Polignac number, because 34909380825 - 2⁴ = 34909380809 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581046 + ... + 638304.

It is an arithmetic number, because the mean of its divisors is an integer number (1313544400).

Almost surely, 2^34909380825 is an apocalyptic number.

It is an amenable number.

34909380825 is a deficient number, since it is larger than the sum of its proper divisors (28140750375).

34909380825 is a wasteful number, since it uses less digits than its factorization.

34909380825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58022 (or 58017 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 34909380825 in words is "thirty-four billion, nine hundred nine million, three hundred eighty thousand, eight hundred twenty-five".