3863199168 has 336 divisors, whose sum is σ = 12299289600. Its totient is φ = 1154580480.

The previous prime is 3863199167. The next prime is 3863199191. The reversal of 3863199168 is 8619913683.

3863199168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (3863199161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20016480 + ... + 20016672.

Almost surely, 2^3863199168 is an apocalyptic number.

3863199168 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 3863199168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6149644800).

3863199168 is an abundant number, since it is smaller than the sum of its proper divisors (8436090432).

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

3863199168 is a wasteful number, since it uses less digits than its factorization.

3863199168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 307 counting only the distinct ones).

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

The square root of 3863199168 is about 62154.6391510722. The cubic root of 3863199168 is about 1569.0942573467.

The spelling of 3863199168 in words is "three billion, eight hundred sixty-three million, one hundred ninety-nine thousand, one hundred sixty-eight".