3168859680 has 288 divisors, whose sum is σ = 12758473728. Its totient is φ = 700876800.

The previous prime is 3168859679. The next prime is 3168859697. The reversal of 3168859680 is 869588613.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307410 + ... + 317550.

It is an arithmetic number, because the mean of its divisors is an integer number (44300256).

Almost surely, 2^3168859680 is an apocalyptic number.

3168859680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3168859680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6379236864).

3168859680 is an abundant number, since it is smaller than the sum of its proper divisors (9589614048).

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

3168859680 is a wasteful number, since it uses less digits than its factorization.

3168859680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10200 (or 10189 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 3168859680 is about 56292.6254495205. The cubic root of 3168859680 is about 1468.8169295470.

The spelling of 3168859680 in words is "three billion, one hundred sixty-eight million, eight hundred fifty-nine thousand, six hundred eighty".