334004334320 has 160 divisors (see below), whose sum is σ = 796443399360. Its totient is φ = 130233139200.

The previous prime is 334004334299. The next prime is 334004334359. The reversal of 334004334320 is 23433400433.

It is a happy number.

It is a super-2 number, since 2×334004334320² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208621520 + ... + 208623120.

It is an arithmetic number, because the mean of its divisors is an integer number (4977771246).

Almost surely, 2^334004334320 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 334004334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398221699680).

334004334320 is an abundant number, since it is smaller than the sum of its proper divisors (462439065040).

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

334004334320 is a wasteful number, since it uses less digits than its factorization.

334004334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 29.

Adding to 334004334320 its reverse (23433400433), we get a palindrome (357437734753).

The spelling of 334004334320 in words is "three hundred thirty-four billion, four million, three hundred thirty-four thousand, three hundred twenty".