334034334100000 has 288 divisors, whose sum is σ = 848729494835712. Its totient is φ = 129268742400000.

The previous prime is 334034334099989. The next prime is 334034334100021. The reversal of 334034334100000 is 1433430433.

It is a happy number.

It is a super-2 number, since 2×334034334100000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13525287652 + ... + 13525312348.

It is an arithmetic number, because the mean of its divisors is an integer number (2946977412624).

Almost surely, 2^{334034334100000} 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 334034334100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424364747417856).

334034334100000 is an abundant number, since it is smaller than the sum of its proper divisors (514695160735712).

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

334034334100000 is an equidigital number, since it uses as much as digits as its factorization.

334034334100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29126 (or 29098 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 334034334100000 its reverse (1433430433), we get a palindrome (334035767530433).

The spelling of 334034334100000 in words is "three hundred thirty-four trillion, thirty-four billion, three hundred thirty-four million, one hundred thousand".