3886999216128 has 1008 divisors, whose sum is σ = 14001082707456. Its totient is φ = 1016667832320.

The previous prime is 3886999216073. The next prime is 3886999216129. The reversal of 3886999216128 is 8216129996883.

3886999216128 is a `hidden beast` number, since 388 + 6 + 9 + 9 + 9 + 216 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×3886999216128³ (a number of 39 digits) contains 333 as substring.

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

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 (3886999216129) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5775630000 + ... + 5775630672.

Almost surely, 2^{3886999216128} is an apocalyptic number.

3886999216128 is a gapful number since it is divisible by the number (38) 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 3886999216128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7000541353728).

3886999216128 is an abundant number, since it is smaller than the sum of its proper divisors (10114083491328).

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

3886999216128 is a wasteful number, since it uses less digits than its factorization.

3886999216128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 735 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 72.

The spelling of 3886999216128 in words is "three trillion, eight hundred eighty-six billion, nine hundred ninety-nine million, two hundred sixteen thousand, one hundred twenty-eight".