3334400 has 54 divisors (see below), whose sum is σ = 8269002. Its totient is φ = 1331200.

The previous prime is 3334399. The next prime is 3334411. The reversal of 3334400 is 44333.

It can be written as a sum of positive squares in 3 ways, for example, as 65536 + 3268864 = 256^2 + 1808^2 .

It is a super-2 number, since 2×3334400² = 22236446720000, which contains 22 as substring.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6140 + ... + 6660.

Almost surely, 2^3334400 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 3334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134501).

3334400 is an abundant number, since it is smaller than the sum of its proper divisors (4934602).

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

3334400 is an equidigital number, since it uses as much as digits as its factorization.

3334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 3334400 is about 1826.0339536821. The cubic root of 3334400 is about 149.3960904028.

Adding to 3334400 its reverse (44333), we get a palindrome (3378733).

The spelling of 3334400 in words is "three million, three hundred thirty-four thousand, four hundred".