3189984 has 96 divisors (see below), whose sum is σ = 9870336. Its totient is φ = 883200.

The previous prime is 3189983. The next prime is 3189997. The reversal of 3189984 is 4899813.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3189983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31534 + ... + 31634.

It is an arithmetic number, because the mean of its divisors is an integer number (102816).

Almost surely, 2^3189984 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 3189984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935168).

3189984 is an abundant number, since it is smaller than the sum of its proper divisors (6680352).

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

3189984 is a wasteful number, since it uses less digits than its factorization.

3189984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 3189984 is about 1786.0526308035. The cubic root of 3189984 is about 147.2073523423.

The spelling of 3189984 in words is "three million, one hundred eighty-nine thousand, nine hundred eighty-four".