34405317888 has 144 divisors (see below), whose sum is σ = 94881662400. Its totient is φ = 11054776320.

The previous prime is 34405317847. The next prime is 34405317899. The reversal of 34405317888 is 88871350443.

It is a self number, because there is not a number n which added to its sum of digits gives 34405317888.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22471683 + ... + 22473213.

Almost surely, 2^34405317888 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 34405317888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47440831200).

34405317888 is an abundant number, since it is smaller than the sum of its proper divisors (60476344512).

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

34405317888 is a wasteful number, since it uses less digits than its factorization.

34405317888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 34405317888 in words is "thirty-four billion, four hundred five million, three hundred seventeen thousand, eight hundred eighty-eight".