3289248 has 96 divisors (see below), whose sum is σ = 9918720. Its totient is φ = 1073088.

The previous prime is 3289243. The next prime is 3289259. The reversal of 3289248 is 8429823.

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 (36).

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

It is not an unprimeable number, because it can be changed into a prime (3289241) 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 15 ways as a sum of consecutive naturals, for example, 69961 + ... + 70007.

It is an arithmetic number, because the mean of its divisors is an integer number (103320).

Almost surely, 2^3289248 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 3289248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959360).

3289248 is an abundant number, since it is smaller than the sum of its proper divisors (6629472).

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

3289248 is an frugal number, since it uses more digits than its factorization.

3289248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 52 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 3289248 is about 1813.6284073646. The cubic root of 3289248 is about 148.7186860620.

The spelling of 3289248 in words is "three million, two hundred eighty-nine thousand, two hundred forty-eight".