3332663334000 has 1920 divisors, whose sum is σ = 16053972480000. Its totient is φ = 621831168000.

The previous prime is 3332663333981. The next prime is 3332663334043. The reversal of 3332663334000 is 4333662333.

3332663334000 is a `hidden beast` number, since 333 + 266 + 33 + 34 + 0 + 0 + 0 = 666.

3332663334000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3332663334000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 666663501 + ... + 666668499.

It is an arithmetic number, because the mean of its divisors is an integer number (8361444000).

Almost surely, 2^{3332663334000} is an apocalyptic number.

3332663334000 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 3332663334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8026986240000).

3332663334000 is an abundant number, since it is smaller than the sum of its proper divisors (12721309146000).

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

3332663334000 is a wasteful number, since it uses less digits than its factorization.

3332663334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5096 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 36.

Adding to 3332663334000 its reverse (4333662333), we get a palindrome (3336996996333).

It can be divided in two parts, 3332663 and 334000, that added together give a palindrome (3666663).

The spelling of 3332663334000 in words is "three trillion, three hundred thirty-two billion, six hundred sixty-three million, three hundred thirty-four thousand".