34182519168 has 192 divisors, whose sum is σ = 106242012720. Its totient is φ = 9709056000.

The previous prime is 34182519131. The next prime is 34182519193. The reversal of 34182519168 is 86191528143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3249918 + ... + 3260418.

Almost surely, 2^34182519168 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 34182519168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53121006360).

34182519168 is an abundant number, since it is smaller than the sum of its proper divisors (72059493552).

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

34182519168 is a wasteful number, since it uses less digits than its factorization.

34182519168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10705 (or 10686 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The spelling of 34182519168 in words is "thirty-four billion, one hundred eighty-two million, five hundred nineteen thousand, one hundred sixty-eight".