34336460601 has 21 divisors (see below), whose sum is σ = 51488642869. Its totient is φ = 22887638316.

The previous prime is 34336460581. The next prime is 34336460693. The reversal of 34336460601 is 10606463343.

The square root of 34336460601 is 185301.

It is a perfect power (a square), and thus also a powerful number.

34336460601 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 6 + 46 + 0 + 601 = 666.

It is not a de Polignac number, because 34336460601 - 2⁵ = 34336460569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34336460801) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 4999696 + ... + 5006558.

Almost surely, 2^34336460601 is an apocalyptic number.

34336460601 is the 185301-st square number.

34336460601 is the 92651-st centered octagonal number.

It is an amenable number.

34336460601 is a deficient number, since it is larger than the sum of its proper divisors (17152182268).

34336460601 is an frugal number, since it uses more digits than its factorization.

34336460601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13744 (or 6866 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Multiplying 34336460601 by its sum of digits (36), we get a square (1236112581636 = 1111806²).

The spelling of 34336460601 in words is "thirty-four billion, three hundred thirty-six million, four hundred sixty thousand, six hundred one".