3848384640 has 512 divisors, whose sum is σ = 13818470400. Its totient is φ = 906854400.

The previous prime is 3848384627. The next prime is 3848384669. The reversal of 3848384640 is 464838483.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3848384640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46366039 + ... + 46366121.

It is an arithmetic number, because the mean of its divisors is an integer number (26989200).

Almost surely, 2^3848384640 is an apocalyptic number.

3848384640 is a gapful number since it is divisible by the number (30) 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 3848384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909235200).

3848384640 is an abundant number, since it is smaller than the sum of its proper divisors (9970085760).

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

3848384640 is a wasteful number, since it uses less digits than its factorization.

3848384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The square root of 3848384640 is about 62035.3499224434. The cubic root of 3848384640 is about 1567.0859763914.

The spelling of 3848384640 in words is "three billion, eight hundred forty-eight million, three hundred eighty-four thousand, six hundred forty".