34734252768 has 48 divisors (see below), whose sum is σ = 91211274000. Its totient is φ = 11573784576.

The previous prime is 34734252757. The next prime is 34734252809. The reversal of 34734252768 is 86725243743.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34734252768.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 198096 + ... + 329712.

It is an arithmetic number, because the mean of its divisors is an integer number (1900234875).

Almost surely, 2^34734252768 is an apocalyptic number.

It is an amenable number.

34734252768 is an abundant number, since it is smaller than the sum of its proper divisors (56477021232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34734252768 is a wasteful number, since it uses less digits than its factorization.

34734252768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134379 (or 134371 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 51.

The spelling of 34734252768 in words is "thirty-four billion, seven hundred thirty-four million, two hundred fifty-two thousand, seven hundred sixty-eight".