3987984 has 160 divisors (see below), whose sum is σ = 13999104. Its totient is φ = 944640.

The previous prime is 3987943. The next prime is 3988003. The reversal of 3987984 is 4897893.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48007 + ... + 48089.

Almost surely, 2^3987984 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 3987984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999552).

3987984 is an abundant number, since it is smaller than the sum of its proper divisors (10011120).

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

3987984 is a wasteful number, since it uses less digits than its factorization.

3987984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 3987984 is about 1996.9937406011. The cubic root of 3987984 is about 158.5809940083.

Subtracting 3987984 from its reverse (4897893), we obtain a palindrome (909909).

The spelling of 3987984 in words is "three million, nine hundred eighty-seven thousand, nine hundred eighty-four".