5838966336 has 224 divisors, whose sum is σ = 18925885440. Its totient is φ = 1550721024.

The previous prime is 5838966311. The next prime is 5838966379. The reversal of 5838966336 is 6336698385.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1894845 + ... + 1897923.

It is an arithmetic number, because the mean of its divisors is an integer number (84490560).

Almost surely, 2^5838966336 is an apocalyptic number.

5838966336 is a gapful number since it is divisible by the number (56) 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 5838966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9462942720).

5838966336 is an abundant number, since it is smaller than the sum of its proper divisors (13086919104).

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

5838966336 is a wasteful number, since it uses less digits than its factorization.

5838966336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201 (or 3191 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 57.

The square root of 5838966336 is about 76413.1293430651. The cubic root of 5838966336 is about 1800.7164160568.

The spelling of 5838966336 in words is "five billion, eight hundred thirty-eight million, nine hundred sixty-six thousand, three hundred thirty-six".