34800649225 has 24 divisors (see below), whose sum is σ = 43816247168. Its totient is φ = 27412862400.

The previous prime is 34800649217. The next prime is 34800649231. The reversal of 34800649225 is 52294600843.

It is not a de Polignac number, because 34800649225 - 2³ = 34800649217 is a prime.

It is a super-2 number, since 2×34800649225² (a number of 22 digits) contains 22 as substring.

It is a Duffinian 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 23 ways as a sum of consecutive naturals, for example, 6732592 + ... + 6737758.

Almost surely, 2^34800649225 is an apocalyptic number.

It is an amenable number.

34800649225 is a deficient number, since it is larger than the sum of its proper divisors (9015597943).

34800649225 is a wasteful number, since it uses less digits than its factorization.

34800649225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9265 (or 9260 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 34800649225 in words is "thirty-four billion, eight hundred million, six hundred forty-nine thousand, two hundred twenty-five".