3281752320000 has 1440 divisors, whose sum is σ = 13747633099200. Its totient is φ = 681246720000.

The previous prime is 3281752319969. The next prime is 3281752320029. The reversal of 3281752320000 is 232571823.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3252479496 + ... + 3252480504.

It is an arithmetic number, because the mean of its divisors is an integer number (9546967430).

Almost surely, 2^{3281752320000} is an apocalyptic number.

3281752320000 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 3281752320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6873816549600).

3281752320000 is an abundant number, since it is smaller than the sum of its proper divisors (10465880779200).

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

3281752320000 is a wasteful number, since it uses less digits than its factorization.

3281752320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 3281752320000 its reverse (232571823), we get a palindrome (3281984891823).

The spelling of 3281752320000 in words is "three trillion, two hundred eighty-one billion, seven hundred fifty-two million, three hundred twenty thousand".