34107822168 has 128 divisors (see below), whose sum is σ = 102735544320. Its totient is φ = 9230014080.

The previous prime is 34107822163. The next prime is 34107822187. The reversal of 34107822168 is 86122870143.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34107822163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175105 + ... + 314447.

It is an arithmetic number, because the mean of its divisors is an integer number (802621440).

Almost surely, 2^34107822168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34107822168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51367772160).

34107822168 is an abundant number, since it is smaller than the sum of its proper divisors (68627722152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34107822168 is a wasteful number, since it uses less digits than its factorization.

34107822168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139437 (or 139433 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 34107822168 in words is "thirty-four billion, one hundred seven million, eight hundred twenty-two thousand, one hundred sixty-eight".