334110797328 has 320 divisors, whose sum is σ = 1087436113920. Its totient is φ = 85871923200.

The previous prime is 334110797311. The next prime is 334110797329. The reversal of 334110797328 is 823797011433.

It is a super-2 number, since 2×334110797328² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (334110797329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191906538 + ... + 191908278.

It is an arithmetic number, because the mean of its divisors is an integer number (3398237856).

Almost surely, 2^334110797328 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 334110797328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543718056960).

334110797328 is an abundant number, since it is smaller than the sum of its proper divisors (753325316592).

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

334110797328 is a wasteful number, since it uses less digits than its factorization.

334110797328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 334110797328 in words is "three hundred thirty-four billion, one hundred ten million, seven hundred ninety-seven thousand, three hundred twenty-eight".