3300330000000 has 1024 divisors, whose sum is σ = 12206500001280. Its totient is φ = 783360000000.

The previous prime is 3300329999977. The next prime is 3300330000007. The reversal of 3300330000000 is 330033.

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 not an unprimeable number, because it can be changed into a prime (3300330000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24089999932 + ... + 24090000068.

Almost surely, 2^{3300330000000} is an apocalyptic number.

3300330000000 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 3300330000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6103250000640).

3300330000000 is an abundant number, since it is smaller than the sum of its proper divisors (8906170001280).

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

3300330000000 is an frugal number, since it uses more digits than its factorization.

3300330000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 231 counting only the distinct ones).

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

Adding to 3300330000000 its reverse (330033), we get a palindrome (3300330330033).

3300330000000 divided by its reverse (330033) gives a 7-th power (10000000 = 10⁷).

It can be divided in two parts, 33003 and 30000000, that added together give a palindrome (30033003).

The spelling of 3300330000000 in words is "three trillion, three hundred billion, three hundred thirty million", and thus it is an aban number.