34006734017 has 8 divisors (see below), whose sum is σ = 34850391072. Its totient is φ = 33163754400.

The previous prime is 34006734011. The next prime is 34006734049. The reversal of 34006734017 is 71043760043.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34006734017 - 2²⁴ = 33989956801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34006734011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66959 + ... + 269252.

It is an arithmetic number, because the mean of its divisors is an integer number (4356298884).

Almost surely, 2^34006734017 is an apocalyptic number.

It is an amenable number.

34006734017 is a deficient number, since it is larger than the sum of its proper divisors (843657055).

34006734017 is a wasteful number, since it uses less digits than its factorization.

34006734017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338719.

The product of its (nonzero) digits is 42336, while the sum is 35.

The spelling of 34006734017 in words is "thirty-four billion, six million, seven hundred thirty-four thousand, seventeen".