330000003300000 has 576 divisors, whose sum is σ = 1250655472176768. Its totient is φ = 75294105600000.

The previous prime is 330000003299969. The next prime is 330000003300041. The reversal of 330000003300000 is 3300000033.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53158824 + ... + 59041176.

It is an arithmetic number, because the mean of its divisors is an integer number (2171276861418).

Almost surely, 2^{330000003300000} is an apocalyptic number.

330000003300000 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 330000003300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625327736088384).

330000003300000 is an abundant number, since it is smaller than the sum of its proper divisors (920655468876768).

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

330000003300000 is a wasteful number, since it uses less digits than its factorization.

330000003300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882419 (or 5882391 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 12.

Adding to 330000003300000 its reverse (3300000033), we get a palindrome (330003303300033).

330000003300000 divided by its reverse (3300000033) gives a 5-th power (100000 = 10⁵).

The spelling of 330000003300000 in words is "three hundred thirty trillion, three million, three hundred thousand".