3988930772736 has 864 divisors, whose sum is σ = 14917236929280. Its totient is φ = 1042070593536.

The previous prime is 3988930772719. The next prime is 3988930772741. The reversal of 3988930772736 is 6372770398893.

3988930772736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 471110775 + ... + 471119241.

It is an arithmetic number, because the mean of its divisors is an integer number (17265320520).

Almost surely, 2^{3988930772736} is an apocalyptic number.

3988930772736 is a gapful number since it is divisible by the number (36) 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 3988930772736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7458618464640).

3988930772736 is an abundant number, since it is smaller than the sum of its proper divisors (10928306156544).

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

3988930772736 is a wasteful number, since it uses less digits than its factorization.

3988930772736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626 (or 8599 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 72.

The spelling of 3988930772736 in words is "three trillion, nine hundred eighty-eight billion, nine hundred thirty million, seven hundred seventy-two thousand, seven hundred thirty-six".