34024683168 has 144 divisors (see below), whose sum is σ = 111980494080. Its totient is φ = 9598238208.

The previous prime is 34024683131. The next prime is 34024683211. The reversal of 34024683168 is 86138642043.

34024683168 is a `hidden beast` number, since 3 + 402 + 4 + 6 + 83 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 52446 + ... + 266082.

It is an arithmetic number, because the mean of its divisors is an integer number (777642320).

Almost surely, 2^34024683168 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 34024683168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55990247040).

34024683168 is an abundant number, since it is smaller than the sum of its proper divisors (77955810912).

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

34024683168 is a wasteful number, since it uses less digits than its factorization.

34024683168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213739 (or 213728 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 34024683168 in words is "thirty-four billion, twenty-four million, six hundred eighty-three thousand, one hundred sixty-eight".