3221444020200 has 384 divisors, whose sum is σ = 11727711878400. Its totient is φ = 716054446080.

The previous prime is 3221444020199. The next prime is 3221444020213. The reversal of 3221444020200 is 20204441223.

3221444020200 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 (24).

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, 384921616 + ... + 384929984.

It is an arithmetic number, because the mean of its divisors is an integer number (30540916350).

Almost surely, 2^{3221444020200} is an apocalyptic number.

3221444020200 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 3221444020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5863855939200).

3221444020200 is an abundant number, since it is smaller than the sum of its proper divisors (8506267858200).

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

3221444020200 is a wasteful number, since it uses less digits than its factorization.

3221444020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10909 (or 10900 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 3221444020200 its reverse (20204441223), we get a palindrome (3241648461423).

The spelling of 3221444020200 in words is "three trillion, two hundred twenty-one billion, four hundred forty-four million, twenty thousand, two hundred".