34181723688 has 256 divisors, whose sum is σ = 103394672640. Its totient is φ = 9212313600.

The previous prime is 34181723669. The next prime is 34181723707. The reversal of 34181723688 is 88632718143.

It is a Cunningham number, because it is equal to 184883²-1.

It is an interprime number because it is at equal distance from previous prime (34181723669) and next prime (34181723707).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34181723688.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35867020 + ... + 35867972.

It is an arithmetic number, because the mean of its divisors is an integer number (403885440).

Almost surely, 2^34181723688 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 34181723688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51697336320).

34181723688 is an abundant number, since it is smaller than the sum of its proper divisors (69212948952).

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

34181723688 is a wasteful number, since it uses less digits than its factorization.

34181723688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1164 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The spelling of 34181723688 in words is "thirty-four billion, one hundred eighty-one million, seven hundred twenty-three thousand, six hundred eighty-eight".