3243666816000 has 2816 divisors, whose sum is σ = 13974172692480. Its totient is φ = 735746457600.

The previous prime is 3243666815903. The next prime is 3243666816007. The reversal of 3243666816000 is 6186663423.

3243666816000 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243666816007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 44433791964 + ... + 44433792036.

It is an arithmetic number, because the mean of its divisors is an integer number (4962419280).

Almost surely, 2^{3243666816000} is an apocalyptic number.

3243666816000 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 3243666816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6987086346240).

3243666816000 is an abundant number, since it is smaller than the sum of its proper divisors (10730505876480).

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

3243666816000 is a wasteful number, since it uses less digits than its factorization.

3243666816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 3243666816000 in words is "three trillion, two hundred forty-three billion, six hundred sixty-six million, eight hundred sixteen thousand".