3282000 has 80 divisors (see below), whose sum is σ = 10600512. Its totient is φ = 873600.

The previous prime is 3281987. The next prime is 3282029. The reversal of 3282000 is 2823.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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, 5727 + ... + 6273.

Almost surely, 2^3282000 is an apocalyptic number.

3282000 is a gapful number since it is divisible by the number (30) 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 3282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300256).

3282000 is an abundant number, since it is smaller than the sum of its proper divisors (7318512).

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

3282000 is a wasteful number, since it uses less digits than its factorization.

3282000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3282000 is about 1811.6291011131. The cubic root of 3282000 is about 148.6093697127.

Adding to 3282000 its reverse (2823), we get a palindrome (3284823).

The spelling of 3282000 in words is "three million, two hundred eighty-two thousand".