3984560 has 20 divisors (see below), whose sum is σ = 9264288. Its totient is φ = 1593792.

The previous prime is 3984521. The next prime is 3984587. The reversal of 3984560 is 654893.

3984560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3984560.

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, 24824 + ... + 24983.

Almost surely, 2^3984560 is an apocalyptic number.

It is an amenable number.

3984560 is an abundant number, since it is smaller than the sum of its proper divisors (5279728).

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

3984560 is a wasteful number, since it uses less digits than its factorization.

3984560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49820 (or 49814 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 3984560 is about 1996.1362678936. The cubic root of 3984560 is about 158.5355962338.

The spelling of 3984560 in words is "three million, nine hundred eighty-four thousand, five hundred sixty".