3300000033000 has 256 divisors, whose sum is σ = 11892708023040. Its totient is φ = 752941056000.

The previous prime is 3300000032999. The next prime is 3300000033019. The reversal of 3300000033000 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 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, 2380177 + ... + 3502176.

It is an arithmetic number, because the mean of its divisors is an integer number (46455890715).

Almost surely, 2^{3300000033000} is an apocalyptic number.

3300000033000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3300000033000 is an abundant number, since it is smaller than the sum of its proper divisors (8592707990040).

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

3300000033000 is a wasteful number, since it uses less digits than its factorization.

3300000033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882405 (or 5882391 counting only the distinct ones).

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

Adding to 3300000033000 its reverse (3300000033), we get a palindrome (3303300033033).

3300000033000 divided by its reverse (3300000033) gives a cube (1000 = 10³).

The spelling of 3300000033000 in words is "three trillion, three hundred billion, thirty-three thousand".