3849807968 has 72 divisors (see below), whose sum is σ = 8216322912. Its totient is φ = 1774109952.

The previous prime is 3849807889. The next prime is 3849807979. The reversal of 3849807968 is 8697089483.

It is a happy number.

3849807968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3849807968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 422921 + ... + 431927.

It is an arithmetic number, because the mean of its divisors is an integer number (114115596).

Almost surely, 2^3849807968 is an apocalyptic number.

3849807968 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 3849807968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108161456).

3849807968 is an abundant number, since it is smaller than the sum of its proper divisors (4366514944).

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

3849807968 is a wasteful number, since it uses less digits than its factorization.

3849807968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9092 (or 9065 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 62.

The square root of 3849807968 is about 62046.8207727036. The cubic root of 3849807968 is about 1567.2791485603.

The spelling of 3849807968 in words is "three billion, eight hundred forty-nine million, eight hundred seven thousand, nine hundred sixty-eight".