3368800 has 36 divisors (see below), whose sum is σ = 8226036. Its totient is φ = 1347200.

The previous prime is 3368791. The next prime is 3368803. The reversal of 3368800 is 88633.

3368800 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 2×3368800² = 22697626880000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3368803) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1306 + ... + 2905.

It is an arithmetic number, because the mean of its divisors is an integer number (228501).

Almost surely, 2^3368800 is an apocalyptic number.

It is an amenable number.

3368800 is an abundant number, since it is smaller than the sum of its proper divisors (4857236).

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

3368800 is a wasteful number, since it uses less digits than its factorization.

3368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3368800 is about 1835.4291051414. The cubic root of 3368800 is about 149.9080918456.

The spelling of 3368800 in words is "three million, three hundred sixty-eight thousand, eight hundred".