3221301440 has 224 divisors, whose sum is σ = 9605589120. Its totient is φ = 1003290624.

The previous prime is 3221301431. The next prime is 3221301443. The reversal of 3221301440 is 441031223.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3221301443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1102862 + ... + 1105778.

Almost surely, 2^3221301440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802794560).

3221301440 is an abundant number, since it is smaller than the sum of its proper divisors (6384287680).

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

3221301440 is a wasteful number, since it uses less digits than its factorization.

3221301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3221301440 is about 56756.5101111758. The cubic root of 3221301440 is about 1476.8751698091.

Adding to 3221301440 its reverse (441031223), we get a palindrome (3662332663).

The spelling of 3221301440 in words is "three billion, two hundred twenty-one million, three hundred one thousand, four hundred forty".