34112507689 has 8 divisors (see below), whose sum is σ = 37115275400. Its totient is φ = 31163844096.

The previous prime is 34112507677. The next prime is 34112507699. The reversal of 34112507689 is 98670521143.

It can be written as a sum of positive squares in 4 ways, for example, as 69305625 + 34043202064 = 8325^2 + 184508^2 .

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 34112507689 - 2¹³ = 34112499497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34112507609) 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, 13524714 + ... + 13527235.

It is an arithmetic number, because the mean of its divisors is an integer number (4639409425).

It is a 1-persistent number, because it is pandigital, but 2⋅34112507689 = 68225015378 is not.

Almost surely, 2^34112507689 is an apocalyptic number.

It is an amenable number.

34112507689 is a deficient number, since it is larger than the sum of its proper divisors (3002767711).

34112507689 is a wasteful number, since it uses less digits than its factorization.

34112507689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27052059.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 34112507689 in words is "thirty-four billion, one hundred twelve million, five hundred seven thousand, six hundred eighty-nine".