334144400 has 60 divisors (see below), whose sum is σ = 821493552. Its totient is φ = 130542720.

The previous prime is 334144399. The next prime is 334144403. The reversal of 334144400 is 4441433.

It is a super-2 number, since 2×334144400² = 223304960102720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334144403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7487 + ... + 26913.

Almost surely, 2^334144400 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 334144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410746776).

334144400 is an abundant number, since it is smaller than the sum of its proper divisors (487349152).

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

334144400 is a wasteful number, since it uses less digits than its factorization.

334144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19488 (or 19477 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 334144400 is about 18279.6170638228. The cubic root of 334144400 is about 693.9231810705.

Adding to 334144400 its reverse (4441433), we get a palindrome (338585833).

The spelling of 334144400 in words is "three hundred thirty-four million, one hundred forty-four thousand, four hundred".