3021984000 has 432 divisors, whose sum is σ = 12435696000. Its totient is φ = 690278400.

The previous prime is 3021983999. The next prime is 3021984001. The reversal of 3021984000 is 4891203.

It is an interprime number because it is at equal distance from previous prime (3021983999) and next prime (3021984001).

It is not an unprimeable number, because it can be changed into a prime (3021984001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2015251 + ... + 2016749.

Almost surely, 2^3021984000 is an apocalyptic number.

3021984000 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 3021984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217848000).

3021984000 is an abundant number, since it is smaller than the sum of its proper divisors (9413712000).

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

3021984000 is a wasteful number, since it uses less digits than its factorization.

3021984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3021984000 is about 54972.5749806210. The cubic root of 3021984000 is about 1445.7639347652.

The spelling of 3021984000 in words is "three billion, twenty-one million, nine hundred eighty-four thousand".