3848820768 has 144 divisors (see below), whose sum is σ = 11854926720. Its totient is φ = 1177431552.

The previous prime is 3848820763. The next prime is 3848820853. The reversal of 3848820768 is 8670288483.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (3848820763) 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, 667305 + ... + 673047.

It is an arithmetic number, because the mean of its divisors is an integer number (82325880).

Almost surely, 2^3848820768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3848820768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927463360).

3848820768 is an abundant number, since it is smaller than the sum of its proper divisors (8006105952).

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

3848820768 is a wasteful number, since it uses less digits than its factorization.

3848820768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5951 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 3848820768 is about 62038.8649799462. The cubic root of 3848820768 is about 1567.1451721597.

The spelling of 3848820768 in words is "three billion, eight hundred forty-eight million, eight hundred twenty thousand, seven hundred sixty-eight".