34105738673 has 8 divisors (see below), whose sum is σ = 34168797000. Its totient is φ = 34042733568.

The previous prime is 34105738661. The next prime is 34105738697. The reversal of 34105738673 is 37683750143.

It can be written as a sum of positive squares in 4 ways, for example, as 2901222769 + 31204515904 = 53863^2 + 176648^2 .

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 34105738673 - 2¹⁰ = 34105737649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34105738613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1406153 + ... + 1430201.

It is an arithmetic number, because the mean of its divisors is an integer number (4271099625).

Almost surely, 2^34105738673 is an apocalyptic number.

It is an amenable number.

34105738673 is a deficient number, since it is larger than the sum of its proper divisors (63058327).

34105738673 is a wasteful number, since it uses less digits than its factorization.

34105738673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26611.

The product of its (nonzero) digits is 1270080, while the sum is 47.

The spelling of 34105738673 in words is "thirty-four billion, one hundred five million, seven hundred thirty-eight thousand, six hundred seventy-three".