34434104166 has 96 divisors (see below), whose sum is σ = 93388329216. Its totient is φ = 8908200000.

The previous prime is 34434104123. The next prime is 34434104189. The reversal of 34434104166 is 66140143443.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34434104166.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 298396 + ... + 397376.

It is an arithmetic number, because the mean of its divisors is an integer number (972795096).

Almost surely, 2^34434104166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34434104166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46694164608).

34434104166 is an abundant number, since it is smaller than the sum of its proper divisors (58954225050).

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

34434104166 is a wasteful number, since it uses less digits than its factorization.

34434104166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99258 (or 99255 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 34434104166 in words is "thirty-four billion, four hundred thirty-four million, one hundred four thousand, one hundred sixty-six".