3354200 has 48 divisors (see below), whose sum is σ = 8064960. Its totient is φ = 1296000.

The previous prime is 3354191. The next prime is 3354233. The reversal of 3354200 is 24533.

3354200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3354200² = 22501315280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5930 + ... + 6470.

It is an arithmetic number, because the mean of its divisors is an integer number (168020).

Almost surely, 2^3354200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3354200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032480).

3354200 is an abundant number, since it is smaller than the sum of its proper divisors (4710760).

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

3354200 is a wasteful number, since it uses less digits than its factorization.

3354200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 3354200 is about 1831.4475149455. The cubic root of 3354200 is about 149.6912166403.

Adding to 3354200 its reverse (24533), we get a palindrome (3378733).

The spelling of 3354200 in words is "three million, three hundred fifty-four thousand, two hundred".