34232773617 has 72 divisors (see below), whose sum is σ = 58765360680. Its totient is φ = 19140226560.

The previous prime is 34232773609. The next prime is 34232773637. The reversal of 34232773617 is 71637723243.

34232773617 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 27 + 7 + 3 + 617 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23475142656 + 10757630961 = 153216^2 + 103719^2 .

It is not a de Polignac number, because 34232773617 - 2³ = 34232773609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34232773607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9557767 + ... + 9561347.

It is an arithmetic number, because the mean of its divisors is an integer number (816185565).

Almost surely, 2^34232773617 is an apocalyptic number.

It is an amenable number.

34232773617 is a deficient number, since it is larger than the sum of its proper divisors (24532587063).

34232773617 is a wasteful number, since it uses less digits than its factorization.

34232773617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063 (or 4053 counting only the distinct ones).

The product of its digits is 889056, while the sum is 45.

The spelling of 34232773617 in words is "thirty-four billion, two hundred thirty-two million, seven hundred seventy-three thousand, six hundred seventeen".