34735857012 has 72 divisors (see below), whose sum is σ = 88208580096. Its totient is φ = 11525450304.

The previous prime is 34735857011. The next prime is 34735857127. The reversal of 34735857012 is 21075853743.

34735857012 is a `hidden beast` number, since 3 + 4 + 73 + 5 + 8 + 570 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34735857011) 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 23 ways as a sum of consecutive naturals, for example, 9846793 + ... + 9850319.

It is an arithmetic number, because the mean of its divisors is an integer number (1225119168).

Almost surely, 2^34735857012 is an apocalyptic number.

It is an amenable number.

34735857012 is an abundant number, since it is smaller than the sum of its proper divisors (53472723084).

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

34735857012 is a wasteful number, since it uses less digits than its factorization.

34735857012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 34735857012 in words is "thirty-four billion, seven hundred thirty-five million, eight hundred fifty-seven thousand, twelve".