3988782336 has 288 divisors, whose sum is σ = 13600677888. Its totient is φ = 1007493120.

The previous prime is 3988782311. The next prime is 3988782353. The reversal of 3988782336 is 6332878893.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2187121 + ... + 2188943.

It is an arithmetic number, because the mean of its divisors is an integer number (47224576).

Almost surely, 2^3988782336 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 3988782336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6800338944).

3988782336 is an abundant number, since it is smaller than the sum of its proper divisors (9611895552).

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

3988782336 is a wasteful number, since it uses less digits than its factorization.

3988782336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1883 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The square root of 3988782336 is about 63156.8075190632. The cubic root of 3988782336 is about 1585.9157516655.

The spelling of 3988782336 in words is "three billion, nine hundred eighty-eight million, seven hundred eighty-two thousand, three hundred thirty-six".