3284000 has 48 divisors (see below), whose sum is σ = 8078616. Its totient is φ = 1312000.

The previous prime is 3283997. The next prime is 3284003. The reversal of 3284000 is 4823.

It is an interprime number because it is at equal distance from previous prime (3283997) and next prime (3284003).

It can be written as a sum of positive squares in 4 ways, for example, as 633616 + 2650384 = 796^2 + 1628^2 .

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 3284000.

It is not an unprimeable number, because it can be changed into a prime (3284003) 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, 3590 + ... + 4410.

Almost surely, 2^3284000 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 3284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039308).

3284000 is an abundant number, since it is smaller than the sum of its proper divisors (4794616).

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

3284000 is an equidigital number, since it uses as much as digits as its factorization.

3284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3284000 is about 1812.1810064119. The cubic root of 3284000 is about 148.6395503329.

Adding to 3284000 its reverse (4823), we get a palindrome (3288823).

The spelling of 3284000 in words is "three million, two hundred eighty-four thousand".