34097817609 has 24 divisors (see below), whose sum is σ = 52158286440. Its totient is φ = 21391147008.

The previous prime is 34097817599. The next prime is 34097817623. The reversal of 34097817609 is 90671879043.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8510616009 + 25587201600 = 92253^2 + 159960^2 .

It is not a de Polignac number, because 34097817609 - 2⁸ = 34097817353 is a prime.

It is a super-2 number, since 2×34097817609² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34097817109) 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, 1138377 + ... + 1167945.

It is an arithmetic number, because the mean of its divisors is an integer number (2173261935).

Almost surely, 2^34097817609 is an apocalyptic number.

It is an amenable number.

34097817609 is a deficient number, since it is larger than the sum of its proper divisors (18060468831).

34097817609 is a wasteful number, since it uses less digits than its factorization.

34097817609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37129 (or 37126 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 34097817609 in words is "thirty-four billion, ninety-seven million, eight hundred seventeen thousand, six hundred nine".