3218496800000 has 432 divisors, whose sum is σ = 8300663723520. Its totient is φ = 1244482560000.

The previous prime is 3218496799981. The next prime is 3218496800059. The reversal of 3218496800000 is 86948123.

3218496800000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3218496800000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6719199761 + ... + 6719200239.

It is an arithmetic number, because the mean of its divisors is an integer number (19214499360).

Almost surely, 2^{3218496800000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3218496800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150331861760).

3218496800000 is an abundant number, since it is smaller than the sum of its proper divisors (5082166923520).

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

3218496800000 is an frugal number, since it uses more digits than its factorization.

3218496800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 3218496800000 in words is "three trillion, two hundred eighteen billion, four hundred ninety-six million, eight hundred thousand".