3221310330240 has 1024 divisors, whose sum is σ = 11955444480000. Its totient is φ = 733021470720.

The previous prime is 3221310330239. The next prime is 3221310330257. The reversal of 3221310330240 is 420330131223.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3221310330240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 997616946 + ... + 997620174.

It is an arithmetic number, because the mean of its divisors is an integer number (11675238750).

Almost surely, 2^{3221310330240} is an apocalyptic number.

3221310330240 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 3221310330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5977722240000).

3221310330240 is an abundant number, since it is smaller than the sum of its proper divisors (8734134149760).

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

3221310330240 is a wasteful number, since it uses less digits than its factorization.

3221310330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 3221310330240 its reverse (420330131223), we get a palindrome (3641640461463).

The spelling of 3221310330240 in words is "three trillion, two hundred twenty-one billion, three hundred ten million, three hundred thirty thousand, two hundred forty".