330034230220200 has 768 divisors, whose sum is σ = 1180856591769600. Its totient is φ = 75466659840000.

The previous prime is 330034230220141. The next prime is 330034230220297. The reversal of 330034230220200 is 2022032430033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9845579440 + ... + 9845612960.

It is an arithmetic number, because the mean of its divisors is an integer number (1537573687200).

Almost surely, 2^{330034230220200} is an apocalyptic number.

330034230220200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330034230220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590428295884800).

330034230220200 is an abundant number, since it is smaller than the sum of its proper divisors (850822361549400).

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

330034230220200 is a wasteful number, since it uses less digits than its factorization.

330034230220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34474 (or 34465 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 330034230220200 its reverse (2022032430033), we get a palindrome (332056262650233).

The spelling of 330034230220200 in words is "three hundred thirty trillion, thirty-four billion, two hundred thirty million, two hundred twenty thousand, two hundred".