3252800 has 84 divisors (see below), whose sum is σ = 8503920. Its totient is φ = 1221120.

The previous prime is 3252787. The next prime is 3252827. The reversal of 3252800 is 82523.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 30347 + ... + 30453.

Almost surely, 2^3252800 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 3252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251960).

3252800 is an abundant number, since it is smaller than the sum of its proper divisors (5251120).

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

3252800 is a wasteful number, since it uses less digits than its factorization.

3252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 3252800 is about 1803.5520508153. The cubic root of 3252800 is about 148.1673296151.

It can be divided in two parts, 325 and 2800, that added together give a 5-th power (3125 = 5⁵).

The spelling of 3252800 in words is "three million, two hundred fifty-two thousand, eight hundred".