3993283907088 has 480 divisors, whose sum is σ = 12478147418880. Its totient is φ = 1076679475200.

The previous prime is 3993283907083. The next prime is 3993283907131. The reversal of 3993283907088 is 8807093823993.

It is not an unprimeable number, because it can be changed into a prime (3993283907083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8738038956 + ... + 8738039412.

It is an arithmetic number, because the mean of its divisors is an integer number (25996140456).

Almost surely, 2^{3993283907088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3993283907088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239073709440).

3993283907088 is an abundant number, since it is smaller than the sum of its proper divisors (8484863511792).

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

3993283907088 is a wasteful number, since it uses less digits than its factorization.

3993283907088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 69.

The spelling of 3993283907088 in words is "three trillion, nine hundred ninety-three billion, two hundred eighty-three million, nine hundred seven thousand, eighty-eight".