3997984 has 24 divisors (see below), whose sum is σ = 7955388. Its totient is φ = 1977600.

The previous prime is 3997979. The next prime is 3997993. The reversal of 3997984 is 4897993.

It can be written as a sum of positive squares in 2 ways, for example, as 3312400 + 685584 = 1820^2 + 828^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2614 + ... + 3850.

Almost surely, 2^3997984 is an apocalyptic number.

It is an amenable number.

3997984 is a deficient number, since it is larger than the sum of its proper divisors (3957404).

3997984 is a wasteful number, since it uses less digits than its factorization.

3997984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1340 counting only the distinct ones).

The product of its digits is 489888, while the sum is 49.

The square root of 3997984 is about 1999.4959364800. The cubic root of 3997984 is about 158.7134323776.

Subtracting 3997984 from its reverse (4897993), we obtain a palindrome (900009).

The spelling of 3997984 in words is "three million, nine hundred ninety-seven thousand, nine hundred eighty-four".