3313200 has 120 divisors (see below), whose sum is σ = 11624256. Its totient is φ = 800000.

The previous prime is 3313199. The next prime is 3313213. The reversal of 3313200 is 23133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 13075 + ... + 13325.

Almost surely, 2^3313200 is an apocalyptic number.

3313200 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 3313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812128).

3313200 is an abundant number, since it is smaller than the sum of its proper divisors (8311056).

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

3313200 is a wasteful number, since it uses less digits than its factorization.

3313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3313200 is about 1820.2197669512. The cubic root of 3313200 is about 149.0787986125.

Adding to 3313200 its reverse (23133), we get a palindrome (3336333).

It can be divided in two parts, 33 and 13200, that multiplied together give a square (435600 = 660²).

The spelling of 3313200 in words is "three million, three hundred thirteen thousand, two hundred".