5738938800 has 480 divisors, whose sum is σ = 21846220800. Its totient is φ = 1287014400.

The previous prime is 5738938759. The next prime is 5738938823. The reversal of 5738938800 is 88398375.

It is a happy 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, 30046705 + ... + 30046895.

It is an arithmetic number, because the mean of its divisors is an integer number (45512960).

Almost surely, 2^5738938800 is an apocalyptic number.

5738938800 is a gapful number since it is divisible by the number (50) 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 5738938800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10923110400).

5738938800 is an abundant number, since it is smaller than the sum of its proper divisors (16107282000).

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

5738938800 is a wasteful number, since it uses less digits than its factorization.

5738938800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 5738938800 is about 75755.7839375978. The cubic root of 5738938800 is about 1790.3744210149.

The spelling of 5738938800 in words is "five billion, seven hundred thirty-eight million, nine hundred thirty-eight thousand, eight hundred".