34909428768 has 48 divisors (see below), whose sum is σ = 91665284256. Its totient is φ = 11632916480.

The previous prime is 34909428767. The next prime is 34909428781. The reversal of 34909428768 is 86782490943.

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

It is not an unprimeable number, because it can be changed into a prime (34909428767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269680 + ... + 377552.

It is an arithmetic number, because the mean of its divisors is an integer number (1909693422).

Almost surely, 2^34909428768 is an apocalyptic number.

It is an amenable number.

34909428768 is an abundant number, since it is smaller than the sum of its proper divisors (56755855488).

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

34909428768 is a wasteful number, since it uses less digits than its factorization.

34909428768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111257 (or 111249 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 34909428768 in words is "thirty-four billion, nine hundred nine million, four hundred twenty-eight thousand, seven hundred sixty-eight".