3243224001000 has 256 divisors, whose sum is σ = 10222069777920. Its totient is φ = 856081920000.

The previous prime is 3243224000977. The next prime is 3243224001019. The reversal of 3243224001000 is 1004223423.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120727570 + ... + 120754430.

It is an arithmetic number, because the mean of its divisors is an integer number (39929960070).

Almost surely, 2^{3243224001000} is an apocalyptic number.

3243224001000 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 3243224001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111034888960).

3243224001000 is an abundant number, since it is smaller than the sum of its proper divisors (6978845776920).

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

3243224001000 is a wasteful number, since it uses less digits than its factorization.

3243224001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27293 (or 27279 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 3243224001000 its reverse (1004223423), we get a palindrome (3244228224423).

The spelling of 3243224001000 in words is "three trillion, two hundred forty-three billion, two hundred twenty-four million, one thousand".