334400000000 has 468 divisors, whose sum is σ = 959882321040. Its totient is φ = 115200000000.

The previous prime is 334399999979. The next prime is 334400000069. The reversal of 334400000000 is 4433.

It is a super-2 number, since 2×334400000000² (a number of 24 digits) 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 35 ways as a sum of consecutive naturals, for example, 17599999991 + ... + 17600000009.

Almost surely, 2^334400000000 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 334400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479941160520).

334400000000 is an abundant number, since it is smaller than the sum of its proper divisors (625482321040).

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

334400000000 is an frugal number, since it uses more digits than its factorization.

334400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 37 counting only the distinct ones).

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

Adding to 334400000000 its reverse (4433), we get a palindrome (334400004433).

The spelling of 334400000000 in words is "three hundred thirty-four billion, four hundred million", and thus it is an aban number.