3201822744120 has 2048 divisors, whose sum is σ = 15362887680000. Its totient is φ = 570774159360.

The previous prime is 3201822744097. The next prime is 3201822744149. The reversal of 3201822744120 is 214472281023.

3201822744120 is a `hidden beast` number, since 3 + 2 + 0 + 18 + 227 + 4 + 412 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1525402831 + ... + 1525404929.

It is an arithmetic number, because the mean of its divisors is an integer number (7501410000).

Almost surely, 2^{3201822744120} is an apocalyptic number.

3201822744120 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 3201822744120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7681443840000).

3201822744120 is an abundant number, since it is smaller than the sum of its proper divisors (12161064935880).

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

3201822744120 is a wasteful number, since it uses less digits than its factorization.

3201822744120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 3201822744120 in words is "three trillion, two hundred one billion, eight hundred twenty-two million, seven hundred forty-four thousand, one hundred twenty".