3321129168 has 160 divisors (see below), whose sum is σ = 11468313600. Its totient is φ = 898936704.

The previous prime is 3321129143. The next prime is 3321129199. The reversal of 3321129168 is 8619211233.

It is a super-2 number, since 2×3321129168² = 22059797901080744448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28555 + ... + 86357.

It is an arithmetic number, because the mean of its divisors is an integer number (71676960).

Almost surely, 2^3321129168 is an apocalyptic number.

3321129168 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 3321129168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5734156800).

3321129168 is an abundant number, since it is smaller than the sum of its proper divisors (8147184432).

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

3321129168 is a wasteful number, since it uses less digits than its factorization.

3321129168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57846 (or 57834 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 3321129168 is about 57629.2388289139. The cubic root of 3321129168 is about 1491.9762926080.

The spelling of 3321129168 in words is "three billion, three hundred twenty-one million, one hundred twenty-nine thousand, one hundred sixty-eight".