3887649216 has 448 divisors, whose sum is σ = 13509711360. Its totient is φ = 1083064320.

The previous prime is 3887649211. The next prime is 3887649217. The reversal of 3887649216 is 6129467883.

3887649216 is a `hidden beast` number, since 3 + 88 + 76 + 492 + 1 + 6 = 666.

3887649216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3887649216² = 30227632853330829312, which contains 22 as substring.

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 (3887649211) 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, 17126095 + ... + 17126321.

Almost surely, 2^3887649216 is an apocalyptic number.

3887649216 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 3887649216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6754855680).

3887649216 is an abundant number, since it is smaller than the sum of its proper divisors (9622062144).

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

3887649216 is a wasteful number, since it uses less digits than its factorization.

3887649216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 313 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 3887649216 is about 62351.0161585198. The cubic root of 3887649216 is about 1572.3975452806.

The spelling of 3887649216 in words is "three billion, eight hundred eighty-seven million, six hundred forty-nine thousand, two hundred sixteen".