34116836801 has 8 divisors (see below), whose sum is σ = 36353799720. Its totient is φ = 31905439488.

The previous prime is 34116836797. The next prime is 34116836837. The reversal of 34116836801 is 10863861143.

It can be written as a sum of positive squares in 4 ways, for example, as 1338096400 + 32778740401 = 36580^2 + 181049^2 .

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 34116836801 - 2² = 34116836797 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34116836851) 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, 6388646 + ... + 6393983.

It is an arithmetic number, because the mean of its divisors is an integer number (4544224965).

Almost surely, 2^34116836801 is an apocalyptic number.

It is an amenable number.

34116836801 is a deficient number, since it is larger than the sum of its proper divisors (2236962919).

34116836801 is a wasteful number, since it uses less digits than its factorization.

34116836801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12782803.

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 34116836801 in words is "thirty-four billion, one hundred sixteen million, eight hundred thirty-six thousand, eight hundred one".