3233984 has 56 divisors (see below), whose sum is σ = 7254240. Its totient is φ = 1427712.

The previous prime is 3233983. The next prime is 3233999. The reversal of 3233984 is 4893323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 3¹⁰ + 2 + 3¹² + 3¹³ + 9² + 8³ + 4¹⁰ .

It is a self number, because there is not a number n which added to its sum of digits gives 3233984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3233983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140597 + ... + 140619.

It is an arithmetic number, because the mean of its divisors is an integer number (129540).

Almost surely, 2^3233984 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 3233984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627120).

3233984 is an abundant number, since it is smaller than the sum of its proper divisors (4020256).

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

3233984 is an equidigital number, since it uses as much as digits as its factorization.

3233984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 38 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

The square root of 3233984 is about 1798.3281124422. The cubic root of 3233984 is about 147.8810829523.

It can be divided in two parts, 32339 and 84, that added together give a palindrome (32423).

The spelling of 3233984 in words is "three million, two hundred thirty-three thousand, nine hundred eighty-four".