3221330658480 has 480 divisors, whose sum is σ = 12108223595520. Its totient is φ = 760886353920.

The previous prime is 3221330658431. The next prime is 3221330658509. The reversal of 3221330658480 is 848560331223.

3221330658480 is a `hidden beast` number, since 3 + 2 + 213 + 306 + 58 + 4 + 80 = 666.

It is a super-2 number, since 2×3221330658480² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52772137 + ... + 52833143.

It is an arithmetic number, because the mean of its divisors is an integer number (25225465824).

Almost surely, 2^{3221330658480} is an apocalyptic number.

3221330658480 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 3221330658480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054111797760).

3221330658480 is an abundant number, since it is smaller than the sum of its proper divisors (8886892937040).

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

3221330658480 is a wasteful number, since it uses less digits than its factorization.

3221330658480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61209 (or 61200 counting only the distinct ones).

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

The spelling of 3221330658480 in words is "three trillion, two hundred twenty-one billion, three hundred thirty million, six hundred fifty-eight thousand, four hundred eighty".