3282400 has 72 divisors (see below), whose sum is σ = 8765064. Its totient is φ = 1190400.

The previous prime is 3282379. The next prime is 3282407. The reversal of 3282400 is 42823.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3282407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8614 + ... + 8986.

It is an arithmetic number, because the mean of its divisors is an integer number (121737).

Almost surely, 2^3282400 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 3282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382532).

3282400 is an abundant number, since it is smaller than the sum of its proper divisors (5482664).

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

3282400 is a wasteful number, since it uses less digits than its factorization.

3282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 3282400 is about 1811.7394956229. The cubic root of 3282400 is about 148.6154068174.

The spelling of 3282400 in words is "three million, two hundred eighty-two thousand, four hundred".