3225600 has 216 divisors, whose sum is σ = 13202280. Its totient is φ = 737280.

The previous prime is 3225539. The next prime is 3225647. The reversal of 3225600 is 65223.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460797 + ... + 460803.

Almost surely, 2^3225600 is an apocalyptic number.

3225600 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 3225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601140).

3225600 is an abundant number, since it is smaller than the sum of its proper divisors (9976680).

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

3225600 is a wasteful number, since it uses less digits than its factorization.

3225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3225600 is about 1795.9955456515. The cubic root of 3225600 is about 147.7531800358.

The spelling of 3225600 in words is "three million, two hundred twenty-five thousand, six hundred".