34164130365 has 24 divisors (see below), whose sum is σ = 59228915928. Its totient is φ = 18217457280.

The previous prime is 34164130361. The next prime is 34164130409. The reversal of 34164130365 is 56303146143.

34164130365 is a `hidden beast` number, since 3 + 4 + 1 + 641 + 3 + 0 + 3 + 6 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5947185924 + 28216944441 = 77118^2 + 167979^2 .

It is not a de Polignac number, because 34164130365 - 2² = 34164130361 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34164130361) 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, 181755 + ... + 318375.

It is an arithmetic number, because the mean of its divisors is an integer number (2467871497).

Almost surely, 2^34164130365 is an apocalyptic number.

It is an amenable number.

34164130365 is a deficient number, since it is larger than the sum of its proper divisors (25064785563).

34164130365 is a wasteful number, since it uses less digits than its factorization.

34164130365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142189 (or 142186 counting only the distinct ones).

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

The spelling of 34164130365 in words is "thirty-four billion, one hundred sixty-four million, one hundred thirty thousand, three hundred sixty-five".