3222010189440 has 512 divisors, whose sum is σ = 13236151910400. Its totient is φ = 725465714688.

The previous prime is 3222010189417. The next prime is 3222010189471. The reversal of 3222010189440 is 449810102223.

3222010189440 is a `hidden beast` number, since 3 + 2 + 2 + 20 + 10 + 189 + 440 = 666.

3222010189440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3222010189395 and 3222010189404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7905537 + ... + 8303103.

It is an arithmetic number, because the mean of its divisors is an integer number (25851859200).

Almost surely, 2^{3222010189440} is an apocalyptic number.

3222010189440 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 3222010189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6618075955200).

3222010189440 is an abundant number, since it is smaller than the sum of its proper divisors (10014141720960).

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

3222010189440 is a wasteful number, since it uses less digits than its factorization.

3222010189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397669 (or 397651 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 3222010189440 in words is "three trillion, two hundred twenty-two billion, ten million, one hundred eighty-nine thousand, four hundred forty".