3340200 has 96 divisors (see below), whose sum is σ = 10936800. Its totient is φ = 840960.

The previous prime is 3340193. The next prime is 3340201. The reversal of 3340200 is 20433.

3340200 = T₁₂₉ + T₁₃₀ + ... + T₂₈₀.

It is a super-2 number, since 2×3340200² = 22313872080000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3340201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11254 + ... + 11546.

It is an arithmetic number, because the mean of its divisors is an integer number (113925).

Almost surely, 2^3340200 is an apocalyptic number.

3340200 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 3340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468400).

3340200 is an abundant number, since it is smaller than the sum of its proper divisors (7596600).

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

3340200 is a wasteful number, since it uses less digits than its factorization.

3340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3340200 is about 1827.6214049961. The cubic root of 3340200 is about 149.4826622400.

Adding to 3340200 its reverse (20433), we get a palindrome (3360633).

The spelling of 3340200 in words is "three million, three hundred forty thousand, two hundred".