3342400 has 42 divisors (see below), whose sum is σ = 8228330. Its totient is φ = 1336320.

The previous prime is 3342379. The next prime is 3342413. The reversal of 3342400 is 42433.

3342400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 678976 + 2663424 = 824^2 + 1632^2 .

It is a super-2 number, since 2×3342400² = 22343275520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 556 + ... + 2644.

Almost surely, 2^3342400 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 3342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114165).

3342400 is an abundant number, since it is smaller than the sum of its proper divisors (4885930).

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

3342400 is a wasteful number, since it uses less digits than its factorization.

3342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3342400 is about 1828.2231811242. The cubic root of 3342400 is about 149.5154736168.

Adding to 3342400 its reverse (42433), we get a palindrome (3384833).

The spelling of 3342400 in words is "three million, three hundred forty-two thousand, four hundred".