3289728 has 64 divisors (see below), whose sum is σ = 9424800. Its totient is φ = 1010688.

The previous prime is 3289723. The next prime is 3289739. The reversal of 3289728 is 8279823.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3289723) 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, 4663 + ... + 5321.

Almost surely, 2^3289728 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 3289728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712400).

3289728 is an abundant number, since it is smaller than the sum of its proper divisors (6135072).

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

3289728 is a wasteful number, since it uses less digits than its factorization.

3289728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 677 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 3289728 is about 1813.7607339448. The cubic root of 3289728 is about 148.7259198833.

The spelling of 3289728 in words is "three million, two hundred eighty-nine thousand, seven hundred twenty-eight".