3221016960 has 512 divisors, whose sum is σ = 12318336000. Its totient is φ = 715309056.

The previous prime is 3221016959. The next prime is 3221016961. The reversal of 3221016960 is 696101223.

It is an interprime number because it is at equal distance from previous prime (3221016959) and next prime (3221016961).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221016961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44123484 + ... + 44123556.

It is an arithmetic number, because the mean of its divisors is an integer number (24059250).

Almost surely, 2^3221016960 is an apocalyptic number.

3221016960 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 3221016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6159168000).

3221016960 is an abundant number, since it is smaller than the sum of its proper divisors (9097319040).

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

3221016960 is an equidigital number, since it uses as much as digits as its factorization.

3221016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3221016960 is about 56754.0039116184. The cubic root of 3221016960 is about 1476.8316931973.

The spelling of 3221016960 in words is "three billion, two hundred twenty-one million, sixteen thousand, nine hundred sixty".