3312788990940 has 576 divisors, whose sum is σ = 12035300659200. Its totient is φ = 727024896000.

The previous prime is 3312788990851. The next prime is 3312788991007. The reversal of 3312788990940 is 490998872133.

3312788990940 is a `hidden beast` number, since 3 + 312 + 78 + 89 + 90 + 94 + 0 = 666.

3312788990940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 307047066 + ... + 307057854.

It is an arithmetic number, because the mean of its divisors is an integer number (20894619200).

Almost surely, 2^{3312788990940} is an apocalyptic number.

3312788990940 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 3312788990940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6017650329600).

3312788990940 is an abundant number, since it is smaller than the sum of its proper divisors (8722511668260).

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

3312788990940 is a wasteful number, since it uses less digits than its factorization.

3312788990940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11058 (or 11053 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 3312788990940 in words is "three trillion, three hundred twelve billion, seven hundred eighty-eight million, nine hundred ninety thousand, nine hundred forty".