3242215342080 has 1440 divisors, whose sum is σ = 13644343112400. Its totient is φ = 702126489600.

The previous prime is 3242215342063. The next prime is 3242215342141. The reversal of 3242215342080 is 802435122423.

3242215342080 is a `hidden beast` number, since 3 + 2 + 4 + 2 + 2 + 153 + 420 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104587591665 + ... + 104587591695.

Almost surely, 2^{3242215342080} is an apocalyptic number.

3242215342080 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 3242215342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6822171556200).

3242215342080 is an abundant number, since it is smaller than the sum of its proper divisors (10402127770320).

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

3242215342080 is an equidigital number, since it uses as much as digits as its factorization.

3242215342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 3242215342080 in words is "three trillion, two hundred forty-two billion, two hundred fifteen million, three hundred forty-two thousand, eighty".