334400000 has 240 divisors, whose sum is σ = 959001120. Its totient is φ = 115200000.

The previous prime is 334399999. The next prime is 334400041. The reversal of 334400000 is 4433.

It is a super-2 number, since 2×334400000² = 223646720000000000, which contains 22 as substring.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17599991 + ... + 17600009.

It is an arithmetic number, because the mean of its divisors is an integer number (3995838).

Almost surely, 2^334400000 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 334400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479500560).

334400000 is an abundant number, since it is smaller than the sum of its proper divisors (624601120).

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

334400000 is an frugal number, since it uses more digits than its factorization.

334400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 37 counting only the distinct ones).

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

The square root of 334400000 is about 18286.6071210599. The cubic root of 334400000 is about 694.1000722184.

Adding to 334400000 its reverse (4433), we get a palindrome (334404433).

The spelling of 334400000 in words is "three hundred thirty-four million, four hundred thousand".