3988361916 has 384 divisors, whose sum is σ = 13542359040. Its totient is φ = 997272000.

The previous prime is 3988361887. The next prime is 3988361917. The reversal of 3988361916 is 6191638893.

3988361916 is a `hidden beast` number, since 3 + 9 + 8 + 8 + 3 + 619 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3988361917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20881381 + ... + 20881571.

It is an arithmetic number, because the mean of its divisors is an integer number (35266560).

Almost surely, 2^3988361916 is an apocalyptic number.

3988361916 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 3988361916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6771179520).

3988361916 is an abundant number, since it is smaller than the sum of its proper divisors (9553997124).

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

3988361916 is a wasteful number, since it uses less digits than its factorization.

3988361916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 245 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 3988361916 is about 63153.4790490595. The cubic root of 3988361916 is about 1585.8600308907.

The spelling of 3988361916 in words is "three billion, nine hundred eighty-eight million, three hundred sixty-one thousand, nine hundred sixteen".