3282144 has 48 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 1082240.

The previous prime is 3282143. The next prime is 3282161. The reversal of 3282144 is 4412823.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3282143) 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, 17089 + ... + 17279.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^3282144 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 3282144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

3282144 is an abundant number, since it is smaller than the sum of its proper divisors (5426976).

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

3282144 is a wasteful number, since it uses less digits than its factorization.

3282144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 375 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 3282144 is about 1811.6688439116. The cubic root of 3282144 is about 148.6115431269.

Adding to 3282144 its reverse (4412823), we get a palindrome (7694967).

The spelling of 3282144 in words is "three million, two hundred eighty-two thousand, one hundred forty-four".