3426564168 has 128 divisors (see below), whose sum is σ = 9857664000. Its totient is φ = 1101703680.

The previous prime is 3426564151. The next prime is 3426564179. The reversal of 3426564168 is 8614656243.

3426564168 is a `hidden beast` number, since 3 + 4 + 26 + 564 + 1 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2657668 + ... + 2658956.

It is an arithmetic number, because the mean of its divisors is an integer number (77013000).

Almost surely, 2^3426564168 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 3426564168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928832000).

3426564168 is an abundant number, since it is smaller than the sum of its proper divisors (6431099832).

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

3426564168 is a wasteful number, since it uses less digits than its factorization.

3426564168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1722 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 3426564168 is about 58536.8616172750. The cubic root of 3426564168 is about 1507.6005586246.

The spelling of 3426564168 in words is "three billion, four hundred twenty-six million, five hundred sixty-four thousand, one hundred sixty-eight".