3287800 has 48 divisors (see below), whose sum is σ = 8102160. Its totient is φ = 1236480.

The previous prime is 3287777. The next prime is 3287803. The reversal of 3287800 is 87823.

It is a happy number.

3287800 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 (3287803) 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 11 ways as a sum of consecutive naturals, for example, 2917 + ... + 3883.

It is an arithmetic number, because the mean of its divisors is an integer number (168795).

Almost surely, 2^3287800 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 3287800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051080).

3287800 is an abundant number, since it is smaller than the sum of its proper divisors (4814360).

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

3287800 is a wasteful number, since it uses less digits than its factorization.

3287800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 3287800 is about 1813.2291636746. The cubic root of 3287800 is about 148.6968597697.

It can be divided in two parts, 328 and 7800, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 3287800 in words is "three million, two hundred eighty-seven thousand, eight hundred".