3283200 has 216 divisors, whose sum is σ = 12672800. Its totient is φ = 829440.

The previous prime is 3283199. The next prime is 3283211. The reversal of 3283200 is 23823.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172791 + ... + 172809.

Almost surely, 2^3283200 is an apocalyptic number.

3283200 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 3283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6336400).

3283200 is an abundant number, since it is smaller than the sum of its proper divisors (9389600).

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

3283200 is a wasteful number, since it uses less digits than its factorization.

3283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3283200 is about 1811.9602644650. The cubic root of 3283200 is about 148.6274795556.

The spelling of 3283200 in words is "three million, two hundred eighty-three thousand, two hundred".