3381663168 has 420 divisors, whose sum is σ = 11475460920. Its totient is φ = 978656256.

The previous prime is 3381663157. The next prime is 3381663209. The reversal of 3381663168 is 8613661833.

3381663168 is a `hidden beast` number, since 3 + 3 + 8 + 1 + 6 + 631 + 6 + 8 = 666.

It is a super-2 number, since 2×3381663168² = 22871291563615592448, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24328443 + ... + 24328581.

It is an arithmetic number, because the mean of its divisors is an integer number (27322526).

Almost surely, 2^3381663168 is an apocalyptic number.

3381663168 is a gapful number since it is divisible by the number (38) 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 3381663168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737730460).

3381663168 is an abundant number, since it is smaller than the sum of its proper divisors (8093797752).

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

3381663168 is a wasteful number, since it uses less digits than its factorization.

3381663168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 176 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 3381663168 is about 58152.0693354931. The cubic root of 3381663168 is about 1500.9864870866.

The spelling of 3381663168 in words is "three billion, three hundred eighty-one million, six hundred sixty-three thousand, one hundred sixty-eight".