3984384 has 44 divisors (see below), whose sum is σ = 10628024. Its totient is φ = 1327104.

The previous prime is 3984347. The next prime is 3984389. The reversal of 3984384 is 4834893.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3984389) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2424 + ... + 3720.

It is an arithmetic number, because the mean of its divisors is an integer number (241546).

Almost surely, 2^3984384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3984384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5314012).

3984384 is an abundant number, since it is smaller than the sum of its proper divisors (6643640).

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

3984384 is a wasteful number, since it uses less digits than its factorization.

3984384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1302 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 3984384 is about 1996.0921822401. The cubic root of 3984384 is about 158.5332620007.

The spelling of 3984384 in words is "three million, nine hundred eighty-four thousand, three hundred eighty-four".