330034310220340 has 192 divisors, whose sum is σ = 767436390604800. Its totient is φ = 118217033625600.

The previous prime is 330034310220283. The next prime is 330034310220413. The reversal of 330034310220340 is 43022013430033.

It is a happy number.

It is a super-3 number, since 3×330034310220340³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330034310220299 and 330034310220308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15649584516 + ... + 15649605604.

It is an arithmetic number, because the mean of its divisors is an integer number (3997064534400).

Almost surely, 2^{330034310220340} 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 330034310220340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383718195302400).

330034310220340 is an abundant number, since it is smaller than the sum of its proper divisors (437402080384460).

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

330034310220340 is a wasteful number, since it uses less digits than its factorization.

330034310220340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23246 (or 23244 counting only the distinct ones).

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

Adding to 330034310220340 its reverse (43022013430033), we get a palindrome (373056323650373).

The spelling of 330034310220340 in words is "three hundred thirty trillion, thirty-four billion, three hundred ten million, two hundred twenty thousand, three hundred forty".