3282900 has 72 divisors (see below), whose sum is σ = 9832704. Its totient is φ = 844800.

The previous prime is 3282893. The next prime is 3282901. The reversal of 3282900 is 92823.

3282900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3282901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9124 + ... + 9476.

Almost surely, 2^3282900 is an apocalyptic number.

3282900 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 3282900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916352).

3282900 is an abundant number, since it is smaller than the sum of its proper divisors (6549804).

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

3282900 is a wasteful number, since it uses less digits than its factorization.

3282900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3282900 is about 1811.8774793015. The cubic root of 3282900 is about 148.6229525086.

The spelling of 3282900 in words is "three million, two hundred eighty-two thousand, nine hundred".