3848919360 has 672 divisors, whose sum is σ = 15291255168. Its totient is φ = 808304640.

The previous prime is 3848919343. The next prime is 3848919407. The reversal of 3848919360 is 639198483.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72621094 + ... + 72621146.

It is an arithmetic number, because the mean of its divisors is an integer number (22754844).

Almost surely, 2^3848919360 is an apocalyptic number.

3848919360 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 3848919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7645627584).

3848919360 is an abundant number, since it is smaller than the sum of its proper divisors (11442335808).

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

3848919360 is a wasteful number, since it uses less digits than its factorization.

3848919360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 3848919360 is about 62039.6595735341. The cubic root of 3848919360 is about 1567.1585534581.

The spelling of 3848919360 in words is "three billion, eight hundred forty-eight million, nine hundred nineteen thousand, three hundred sixty".