34735072813 has 48 divisors (see below), whose sum is σ = 44015400000. Its totient is φ = 27237627648.

The previous prime is 34735072793. The next prime is 34735072871. The reversal of 34735072813 is 31827053743.

It is not a de Polignac number, because 34735072813 - 2³³ = 26145138221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 34735072813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34735072513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3558063 + ... + 3567811.

It is an arithmetic number, because the mean of its divisors is an integer number (916987500).

Almost surely, 2^34735072813 is an apocalyptic number.

It is an amenable number.

34735072813 is a deficient number, since it is larger than the sum of its proper divisors (9280327187).

34735072813 is a wasteful number, since it uses less digits than its factorization.

34735072813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9914 (or 9907 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 34735072813 in words is "thirty-four billion, seven hundred thirty-five million, seventy-two thousand, eight hundred thirteen".