3280032 has 72 divisors (see below), whose sum is σ = 10666656. Its totient is φ = 936576.

The previous prime is 3280009. The next prime is 3280033. The reversal of 3280032 is 2300823.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 3279987 and 3280014.

It is not an unprimeable number, because it can be changed into a prime (3280033) 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, 1203 + ... + 2829.

It is an arithmetic number, because the mean of its divisors is an integer number (148148).

Almost surely, 2^3280032 is an apocalyptic number.

3280032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3280032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333328).

3280032 is an abundant number, since it is smaller than the sum of its proper divisors (7386624).

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

3280032 is a wasteful number, since it uses less digits than its factorization.

3280032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3280032 is about 1811.0858621280. The cubic root of 3280032 is about 148.5796600117.

Adding to 3280032 its reverse (2300823), we get a palindrome (5580855).

The spelling of 3280032 in words is "three million, two hundred eighty thousand, thirty-two".