3287328 has 72 divisors (see below), whose sum is σ = 9518544. Its totient is φ = 992640.

The previous prime is 3287327. The next prime is 3287329. The reversal of 3287328 is 8237823.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3287327) and next prime (3287329).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3287327) 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 11 ways as a sum of consecutive naturals, for example, 11475 + ... + 11757.

It is an arithmetic number, because the mean of its divisors is an integer number (132202).

Almost surely, 2^3287328 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 3287328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759272).

3287328 is an abundant number, since it is smaller than the sum of its proper divisors (6231216).

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

3287328 is a wasteful number, since it uses less digits than its factorization.

3287328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 299 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 3287328 is about 1813.0990044672. The cubic root of 3287328 is about 148.6897437370.

The spelling of 3287328 in words is "three million, two hundred eighty-seven thousand, three hundred twenty-eight".