3221311680 has 560 divisors, whose sum is σ = 12509967360. Its totient is φ = 783820800.

The previous prime is 3221311601. The next prime is 3221311697. The reversal of 3221311680 is 861131223.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15266775 + ... + 15266985.

Almost surely, 2^3221311680 is an apocalyptic number.

3221311680 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 3221311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254983680).

3221311680 is an abundant number, since it is smaller than the sum of its proper divisors (9288655680).

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

3221311680 is a wasteful number, since it uses less digits than its factorization.

3221311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3221311680 is about 56756.6003210199. The cubic root of 3221311680 is about 1476.8767347238.

It can be divided in two parts, 3221311 and 680, that added together give a triangular number (3221991 = T₂₅₃₈).

The spelling of 3221311680 in words is "three billion, two hundred twenty-one million, three hundred eleven thousand, six hundred eighty".