3984033331200 has 1152 divisors, whose sum is σ = 15041337292800. Its totient is φ = 922178027520.

The previous prime is 3984033331189. The next prime is 3984033331207. The reversal of 3984033331200 is 21333304893.

It is a super-2 number, since 2×3984033331200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984033331207) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6563481297 + ... + 6563481903.

It is an arithmetic number, because the mean of its divisors is an integer number (13056716400).

Almost surely, 2^{3984033331200} is an apocalyptic number.

3984033331200 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 3984033331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7520668646400).

3984033331200 is an abundant number, since it is smaller than the sum of its proper divisors (11057303961600).

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

3984033331200 is a wasteful number, since it uses less digits than its factorization.

3984033331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The spelling of 3984033331200 in words is "three trillion, nine hundred eighty-four billion, thirty-three million, three hundred thirty-one thousand, two hundred".