5338036000 has 288 divisors, whose sum is σ = 14822786160. Its totient is φ = 1886720000.

The previous prime is 5338035973. The next prime is 5338036019. The reversal of 5338036000 is 6308335.

It can be written as a sum of positive squares in 8 ways, for example, as 680792464 + 4657243536 = 26092^2 + 68244^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5338036000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19843866 + ... + 19844134.

Almost surely, 2^5338036000 is an apocalyptic number.

5338036000 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 5338036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7411393080).

5338036000 is an abundant number, since it is smaller than the sum of its proper divisors (9484750160).

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

5338036000 is a wasteful number, since it uses less digits than its factorization.

5338036000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 5338036000 is about 73061.8641974047. The cubic root of 5338036000 is about 1747.6742983310.

The spelling of 5338036000 in words is "five billion, three hundred thirty-eight million, thirty-six thousand".