3364200 has 192 divisors, whose sum is σ = 13392000. Its totient is φ = 760320.

The previous prime is 3364199. The next prime is 3364219. The reversal of 3364200 is 24633.

3364200 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 2×3364200² = 22635683280000, which contains 22 as substring.

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

It is a plaindrome in base 16.

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 47 ways as a sum of consecutive naturals, for example, 37756 + ... + 37844.

It is an arithmetic number, because the mean of its divisors is an integer number (69750).

Almost surely, 2^3364200 is an apocalyptic number.

3364200 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 3364200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696000).

3364200 is an abundant number, since it is smaller than the sum of its proper divisors (10027800).

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

3364200 is a wasteful number, since it uses less digits than its factorization.

3364200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3364200 is about 1834.1755641159. The cubic root of 3364200 is about 149.8398290293.

Adding to 3364200 its reverse (24633), we get a palindrome (3388833).

The spelling of 3364200 in words is "three million, three hundred sixty-four thousand, two hundred".