3864116016 has 120 divisors (see below), whose sum is σ = 11518210704. Its totient is φ = 1253180160.

The previous prime is 3864115961. The next prime is 3864116017. The reversal of 3864116016 is 6106114683.

3864116016 is a `hidden beast` number, since 3 + 8 + 6 + 41 + 1 + 601 + 6 = 666.

3864116016 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is not an unprimeable number, because it can be changed into a prime (3864116017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130426 + ... + 157286.

Almost surely, 2^3864116016 is an apocalyptic number.

3864116016 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 3864116016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759105352).

3864116016 is an abundant number, since it is smaller than the sum of its proper divisors (7654094688).

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

3864116016 is a wasteful number, since it uses less digits than its factorization.

3864116016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26921 (or 26903 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3864116016 is about 62162.0142530790. The cubic root of 3864116016 is about 1569.2183778899.

The spelling of 3864116016 in words is "three billion, eight hundred sixty-four million, one hundred sixteen thousand, sixteen".