3328200 has 108 divisors (see below), whose sum is σ = 11443185. Its totient is φ = 866880.

The previous prime is 3328177. The next prime is 3328201. The reversal of 3328200 is 28233.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3261636 + 66564 = 1806^2 + 258^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1290.

It is a super-2 number, since 2×3328200² = 22153830480000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3328201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77379 + ... + 77421.

Almost surely, 2^3328200 is an apocalyptic number.

3328200 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 3328200

3328200 is an abundant number, since it is smaller than the sum of its proper divisors (8114985).

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

3328200 is a wasteful number, since it uses less digits than its factorization.

3328200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 53 counting only the distinct ones).

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

The square root of 3328200 is about 1824.3354954613. The cubic root of 3328200 is about 149.3034370070.

Multiplying 3328200 by its sum of digits (18), we get a square (59907600 = 7740²).

3328200 divided by its sum of digits (18) gives a square (184900 = 430²).

Multiplying 3328200 by its product of nonzero digits (288), we get a square (958521600 = 30960²).

The spelling of 3328200 in words is "three million, three hundred twenty-eight thousand, two hundred".