34205233657 has 24 divisors (see below), whose sum is σ = 40548258720. Its totient is φ = 28761949440.

The previous prime is 34205233627. The next prime is 34205233661. The reversal of 34205233657 is 75633250243.

It is not a de Polignac number, because 34205233657 - 2¹⁹ = 34204709369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34205233627) 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 23 ways as a sum of consecutive naturals, for example, 1407433 + ... + 1431529.

It is an arithmetic number, because the mean of its divisors is an integer number (1689510780).

Almost surely, 2^34205233657 is an apocalyptic number.

It is an amenable number.

34205233657 is a deficient number, since it is larger than the sum of its proper divisors (6343025063).

34205233657 is a wasteful number, since it uses less digits than its factorization.

34205233657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24661 (or 24654 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 40.

The spelling of 34205233657 in words is "thirty-four billion, two hundred five million, two hundred thirty-three thousand, six hundred fifty-seven".