34096259617 has 24 divisors (see below), whose sum is σ = 40270089600. Its totient is φ = 28779974496.

The previous prime is 34096259597. The next prime is 34096259657. The reversal of 34096259617 is 71695269043.

It is a happy number.

It is not a de Polignac number, because 34096259617 - 2¹⁹ = 34095735329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34096259657) 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, 1494498 + ... + 1517140.

It is an arithmetic number, because the mean of its divisors is an integer number (1677920400).

Almost surely, 2^34096259617 is an apocalyptic number.

It is an amenable number.

34096259617 is a deficient number, since it is larger than the sum of its proper divisors (6173829983).

34096259617 is a wasteful number, since it uses less digits than its factorization.

34096259617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23125 (or 23118 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 52.

The spelling of 34096259617 in words is "thirty-four billion, ninety-six million, two hundred fifty-nine thousand, six hundred seventeen".