3643984 has 20 divisors (see below), whose sum is σ = 7476084. Its totient is φ = 1714688.

The previous prime is 3643973. The next prime is 3644021. The reversal of 3643984 is 4893463.

3643984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1272384 + 2371600 = 1128^2 + 1540^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6427 + ... + 6970.

Almost surely, 2^3643984 is an apocalyptic number.

3643984 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3643984 is an abundant number, since it is smaller than the sum of its proper divisors (3832100).

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

3643984 is a wasteful number, since it uses less digits than its factorization.

3643984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13422 (or 13416 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The square root of 3643984 is about 1908.9222089965. The cubic root of 3643984 is about 153.8835348140.

The spelling of 3643984 in words is "three million, six hundred forty-three thousand, nine hundred eighty-four".