3352200 has 96 divisors (see below), whose sum is σ = 10743360. Its totient is φ = 864000.

The previous prime is 3352199. The next prime is 3352249. The reversal of 3352200 is 22533.

It is a super-2 number, since 2×3352200² = 22474489680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3352200.

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, 22125 + ... + 22275.

It is an arithmetic number, because the mean of its divisors is an integer number (111910).

Almost surely, 2^3352200 is an apocalyptic number.

3352200 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 3352200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371680).

3352200 is an abundant number, since it is smaller than the sum of its proper divisors (7391160).

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

3352200 is a wasteful number, since it uses less digits than its factorization.

3352200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 3352200 is about 1830.9014173352. The cubic root of 3352200 is about 149.6614587291.

Adding to 3352200 its reverse (22533), we get a palindrome (3374733).

The spelling of 3352200 in words is "three million, three hundred fifty-two thousand, two hundred".