3986784 has 72 divisors (see below), whose sum is σ = 11531520. Its totient is φ = 1306368.

The previous prime is 3986783. The next prime is 3986803. The reversal of 3986784 is 4876893.

It is a happy number.

3986784 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 (72).

Its product of digits (290304) is a multiple of the sum of its prime factors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3986783) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 31329 + ... + 31455.

It is an arithmetic number, because the mean of its divisors is an integer number (160160).

Almost surely, 2^3986784 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 3986784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765760).

3986784 is an abundant number, since it is smaller than the sum of its proper divisors (7544736).

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

3986784 is a wasteful number, since it uses less digits than its factorization.

3986784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3986784 is about 1996.6932663782. The cubic root of 3986784 is about 158.5650865320.

The spelling of 3986784 in words is "three million, nine hundred eighty-six thousand, seven hundred eighty-four".