3221713200000 has 384 divisors, whose sum is σ = 10716454103040. Its totient is φ = 857514240000.

The previous prime is 3221713199993. The next prime is 3221713200059. The reversal of 3221713200000 is 23171223.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 3221713200000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728397789 + ... + 728402211.

It is an arithmetic number, because the mean of its divisors is an integer number (27907432560).

Almost surely, 2^{3221713200000} is an apocalyptic number.

3221713200000 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 3221713200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358227051520).

3221713200000 is an abundant number, since it is smaller than the sum of its proper divisors (7494740903040).

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

3221713200000 is an frugal number, since it uses more digits than its factorization.

3221713200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 3221713200000 its reverse (23171223), we get a palindrome (3221736371223).

The spelling of 3221713200000 in words is "three trillion, two hundred twenty-one billion, seven hundred thirteen million, two hundred thousand".