3285600 has 108 divisors (see below), whose sum is σ = 10991484. Its totient is φ = 852480.

The previous prime is 3285593. The next prime is 3285647. The reversal of 3285600 is 65823.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 88782 + ... + 88818.

It is an arithmetic number, because the mean of its divisors is an integer number (101773).

Almost surely, 2^3285600 is an apocalyptic number.

3285600 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 3285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5495742).

3285600 is an abundant number, since it is smaller than the sum of its proper divisors (7705884).

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

3285600 is a wasteful number, since it uses less digits than its factorization.

3285600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3285600 is about 1812.6224096596. The cubic root of 3285600 is about 148.6636860076.

Multiplying 3285600 by its sum of digits (24), we get a square (78854400 = 8880²).

3285600 divided by its sum of digits (24) gives a square (136900 = 370²).

The spelling of 3285600 in words is "three million, two hundred eighty-five thousand, six hundred".