34672800825 has 72 divisors (see below), whose sum is σ = 68687761688. Its totient is φ = 16608291840.

The previous prime is 34672800793. The next prime is 34672800847. The reversal of 34672800825 is 52800827643.

34672800825 is a `hidden beast` number, since 346 + 7 + 280 + 0 + 8 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6923571264 + 27749229561 = 83208^2 + 166581^2 .

It is not a de Polignac number, because 34672800825 - 2⁵ = 34672800793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51964 + ... + 268413.

Almost surely, 2^34672800825 is an apocalyptic number.

It is an amenable number.

34672800825 is a deficient number, since it is larger than the sum of its proper divisors (34014960863).

34672800825 is a wasteful number, since it uses less digits than its factorization.

34672800825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320443 (or 320435 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 34672800825 in words is "thirty-four billion, six hundred seventy-two million, eight hundred thousand, eight hundred twenty-five".