3242800 has 90 divisors (see below), whose sum is σ = 8691284. Its totient is φ = 1161600.

The previous prime is 3242779. The next prime is 3242803. The reversal of 3242800 is 82423.

It is a happy number.

3242800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3242803) 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 17 ways as a sum of consecutive naturals, for example, 48367 + ... + 48433.

Almost surely, 2^3242800 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 3242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345642).

3242800 is an abundant number, since it is smaller than the sum of its proper divisors (5448484).

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

3242800 is a wasteful number, since it uses less digits than its factorization.

3242800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

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

The square root of 3242800 is about 1800.7776098119. Note that the first 3 decimals coincide. The cubic root of 3242800 is about 148.0153380744.

The spelling of 3242800 in words is "three million, two hundred forty-two thousand, eight hundred".