3986623872 has 512 divisors, whose sum is σ = 14946508800. Its totient is φ = 1016064000.

The previous prime is 3986623799. The next prime is 3986623877. The reversal of 3986623872 is 2783266893.

It is a happy number.

3986623872 is a `hidden beast` number, since 3 + 9 + 8 + 6 + 623 + 8 + 7 + 2 = 666.

3986623872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3986623877) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18893847 + ... + 18894057.

It is an arithmetic number, because the mean of its divisors is an integer number (29192400).

Almost surely, 2^3986623872 is an apocalyptic number.

3986623872 is a gapful number since it is divisible by the number (32) 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 3986623872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7473254400).

3986623872 is an abundant number, since it is smaller than the sum of its proper divisors (10959884928).

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

3986623872 is a wasteful number, since it uses less digits than its factorization.

3986623872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 305 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 3986623872 is about 63139.7170725368. The cubic root of 3986623872 is about 1585.6296359696.

The spelling of 3986623872 in words is "three billion, nine hundred eighty-six million, six hundred twenty-three thousand, eight hundred seventy-two".