3221852941440 has 448 divisors, whose sum is σ = 13197819706560. Its totient is φ = 736422782976.

The previous prime is 3221852941357. The next prime is 3221852941441. The reversal of 3221852941440 is 441492581223.

3221852941440 is a `hidden beast` number, since 3 + 2 + 2 + 185 + 29 + 4 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3221852941441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2772667 + ... + 3759173.

Almost surely, 2^{3221852941440} is an apocalyptic number.

3221852941440 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 3221852941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6598909853280).

3221852941440 is an abundant number, since it is smaller than the sum of its proper divisors (9975966765120).

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

3221852941440 is an frugal number, since it uses more digits than its factorization.

3221852941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986551 (or 986524 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 3221852941440 in words is "three trillion, two hundred twenty-one billion, eight hundred fifty-two million, nine hundred forty-one thousand, four hundred forty".