3322440221760 has 672 divisors, whose sum is σ = 12864673995264. Its totient is φ = 780017664000.

The previous prime is 3322440221759. The next prime is 3322440221773. The reversal of 3322440221760 is 671220442233.

3322440221760 is a `hidden beast` number, since 3 + 3 + 22 + 440 + 22 + 176 + 0 = 666.

It is a super-2 number, since 2×3322440221760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 177937225 + ... + 177955895.

It is an arithmetic number, because the mean of its divisors is an integer number (19143860112).

Almost surely, 2^{3322440221760} is an apocalyptic number.

3322440221760 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 3322440221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6432336997632).

3322440221760 is an abundant number, since it is smaller than the sum of its proper divisors (9542233773504).

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

3322440221760 is a wasteful number, since it uses less digits than its factorization.

3322440221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18883 (or 18870 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 3322440221760 its reverse (671220442233), we get a palindrome (3993660663993).

The spelling of 3322440221760 in words is "three trillion, three hundred twenty-two billion, four hundred forty million, two hundred twenty-one thousand, seven hundred sixty".