3330133332000 has 384 divisors, whose sum is σ = 11557124167680. Its totient is φ = 835373465600.

The previous prime is 3330133331957. The next prime is 3330133332013. The reversal of 3330133332000 is 2333310333.

It is a happy number.

It is a super-2 number, since 2×3330133332000² (a number of 26 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 654633457 + ... + 654638543.

It is an arithmetic number, because the mean of its divisors is an integer number (30096677520).

Almost surely, 2^{3330133332000} is an apocalyptic number.

3330133332000 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 3330133332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778562083840).

3330133332000 is an abundant number, since it is smaller than the sum of its proper divisors (8226990835680).

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

3330133332000 is a wasteful number, since it uses less digits than its factorization.

3330133332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8341 (or 8323 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 24.

Adding to 3330133332000 its reverse (2333310333), we get a palindrome (3332466642333).

It can be divided in two parts, 33301333 and 32000, that added together give a palindrome (33333333).

The spelling of 3330133332000 in words is "three trillion, three hundred thirty billion, one hundred thirty-three million, three hundred thirty-two thousand".