34606888561 has 16 divisors (see below), whose sum is σ = 39956686848. Its totient is φ = 29358792000.

The previous prime is 34606888549. The next prime is 34606888571. The reversal of 34606888561 is 16588860643.

34606888561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 34606888561 - 2²⁹ = 34070017649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34606888531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2439856 + ... + 2453998.

It is an arithmetic number, because the mean of its divisors is an integer number (2497292928).

Almost surely, 2^34606888561 is an apocalyptic number.

It is an amenable number.

34606888561 is a deficient number, since it is larger than the sum of its proper divisors (5349798287).

34606888561 is a wasteful number, since it uses less digits than its factorization.

34606888561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17712.

The product of its (nonzero) digits is 6635520, while the sum is 55.

The spelling of 34606888561 in words is "thirty-four billion, six hundred six million, eight hundred eighty-eight thousand, five hundred sixty-one".