3283984 has 40 divisors (see below), whose sum is σ = 7106688. Its totient is φ = 1457280.

The previous prime is 3283981. The next prime is 3283991. The reversal of 3283984 is 4893823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3283981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8074 + ... + 8470.

Almost surely, 2^3283984 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 3283984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553344).

3283984 is an abundant number, since it is smaller than the sum of its proper divisors (3822704).

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

3283984 is a wasteful number, since it uses less digits than its factorization.

3283984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 3283984 is about 1812.1765918365. The cubic root of 3283984 is about 148.6393089365.

It can be divided in two parts, 32839 and 84, that added together give a palindrome (32923).

The spelling of 3283984 in words is "three million, two hundred eighty-three thousand, nine hundred eighty-four".