3838071360 has 112 divisors (see below), whose sum is σ = 12353031936. Its totient is φ = 1009446912.

The previous prime is 3838071359. The next prime is 3838071361. The reversal of 3838071360 is 631708383.

It is an interprime number because it is at equal distance from previous prime (3838071359) and next prime (3838071361).

It is not an unprimeable number, because it can be changed into a prime (3838071361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42697 + ... + 97463.

It is an arithmetic number, because the mean of its divisors is an integer number (110294928).

Almost surely, 2^3838071360 is an apocalyptic number.

3838071360 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 3838071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6176515968).

3838071360 is an abundant number, since it is smaller than the sum of its proper divisors (8514960576).

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

3838071360 is a wasteful number, since it uses less digits than its factorization.

3838071360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54860 (or 54850 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 3838071360 is about 61952.1699377835. The cubic root of 3838071360 is about 1565.6848469280.

The spelling of 3838071360 in words is "three billion, eight hundred thirty-eight million, seventy-one thousand, three hundred sixty".