34164506331 has 24 divisors (see below), whose sum is σ = 53237489760. Its totient is φ = 21032084736.

The previous prime is 34164506293. The next prime is 34164506333. The reversal of 34164506331 is 13360546143.

34164506331 is a `hidden beast` number, since 3 + 4 + 1 + 645 + 0 + 6 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 34164506331 - 2²¹ = 34162409179 is a prime.

It is a super-2 number, since 2×34164506331² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34164506333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2098471 + ... + 2114688.

It is an arithmetic number, because the mean of its divisors is an integer number (2218228740).

Almost surely, 2^34164506331 is an apocalyptic number.

34164506331 is a deficient number, since it is larger than the sum of its proper divisors (19072983429).

34164506331 is a wasteful number, since it uses less digits than its factorization.

34164506331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213235 (or 4213232 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 34164506331 in words is "thirty-four billion, one hundred sixty-four million, five hundred six thousand, three hundred thirty-one".