334400 has 84 divisors (see below), whose sum is σ = 944880. Its totient is φ = 115200.

The previous prime is 334393. The next prime is 334403. The reversal of 334400 is 4433.

It is a super-2 number, since 2×334400² = 223646720000, which contains 22 as substring.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (334403) by changing a digit.

334400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17591 + ... + 17609.

2³³⁴⁴⁰⁰ 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 334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472440).

334400 is an abundant number, since it is smaller than the sum of its proper divisors (610480).

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

334400 is a wasteful number, since it uses less digits than its factorization.

334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 334400 is about 578.2732917920. The cubic root of 334400 is about 69.4100072218.

Adding to 334400 its reverse (4433), we get a palindrome (338833).

The spelling of 334400 in words is "three hundred thirty-four thousand, four hundred".