34164430065 has 12 divisors (see below), whose sum is σ = 59218345524. Its totient is φ = 18221029344.

The previous prime is 34164430039. The next prime is 34164430067. The reversal of 34164430065 is 56003446143.

34164430065 is a `hidden beast` number, since 3 + 4 + 1 + 644 + 3 + 0 + 0 + 6 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4318066944 + 29846363121 = 65712^2 + 172761^2 .

It is not a de Polignac number, because 34164430065 - 2⁵ = 34164430033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34164430067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379604734 + ... + 379604823.

It is an arithmetic number, because the mean of its divisors is an integer number (4934862127).

Almost surely, 2^34164430065 is an apocalyptic number.

It is an amenable number.

34164430065 is a deficient number, since it is larger than the sum of its proper divisors (25053915459).

34164430065 is a wasteful number, since it uses less digits than its factorization.

34164430065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759209568 (or 759209565 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 34164430065 in words is "thirty-four billion, one hundred sixty-four million, four hundred thirty thousand, sixty-five".