5838376320 has 768 divisors, whose sum is σ = 24807444480. Its totient is φ = 1283973120.

The previous prime is 5838376303. The next prime is 5838376391. The reversal of 5838376320 is 236738385.

5838376320 is a `hidden beast` number, since 5 + 8 + 3 + 8 + 3 + 7 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 33747754 + ... + 33747926.

It is an arithmetic number, because the mean of its divisors is an integer number (32301360).

Almost surely, 2^5838376320 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 5838376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12403722240).

5838376320 is an abundant number, since it is smaller than the sum of its proper divisors (18969068160).

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

5838376320 is a wasteful number, since it uses less digits than its factorization.

5838376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 5838376320 is about 76409.2685477358. The cubic root of 5838376320 is about 1800.6557610696.

The spelling of 5838376320 in words is "five billion, eight hundred thirty-eight million, three hundred seventy-six thousand, three hundred twenty".