3567984 has 120 divisors (see below), whose sum is σ = 11280528. Its totient is φ = 967680.

The previous prime is 3567983. The next prime is 3567989. The reversal of 3567984 is 4897653.

It is a happy number.

3567984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 3¹² + 5⁹ + 6⁴ + 7² + 9³ + 8⁵ + 4¹⁰ .

Its product of digits (181440) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3567983) 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 23 ways as a sum of consecutive naturals, for example, 87004 + ... + 87044.

Almost surely, 2^3567984 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 3567984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640264).

3567984 is an abundant number, since it is smaller than the sum of its proper divisors (7712544).

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

3567984 is a wasteful number, since it uses less digits than its factorization.

3567984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 3567984 is about 1888.9107972586. The cubic root of 3567984 is about 152.8061965818.

The spelling of 3567984 in words is "three million, five hundred sixty-seven thousand, nine hundred eighty-four".