3358400 has 42 divisors (see below), whose sum is σ = 8267700. Its totient is φ = 1342720.

The previous prime is 3358373. The next prime is 3358423. The reversal of 3358400 is 48533.

3358400 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3358400² = 22557701120000, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 551 + ... + 2649.

It is an arithmetic number, because the mean of its divisors is an integer number (196850).

Almost surely, 2^3358400 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 3358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133850).

3358400 is an abundant number, since it is smaller than the sum of its proper divisors (4909300).

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

3358400 is a wasteful number, since it uses less digits than its factorization.

3358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 3358400 is about 1832.5937902328. The cubic root of 3358400 is about 149.7536697716.

The spelling of 3358400 in words is "three million, three hundred fifty-eight thousand, four hundred".