5338396800 has 768 divisors, whose sum is σ = 21992342400. Its totient is φ = 1253376000.

The previous prime is 5338396799. The next prime is 5338396801. The reversal of 5338396800 is 86938335.

5338396800 is a `hidden beast` number, since 533 + 8 + 39 + 6 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5338396799) and next prime (5338396801).

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

It is not an unprimeable number, because it can be changed into a prime (5338396801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38966332 + ... + 38966468.

Almost surely, 2^5338396800 is an apocalyptic number.

5338396800 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 5338396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10996171200).

5338396800 is an abundant number, since it is smaller than the sum of its proper divisors (16653945600).

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

5338396800 is a wasteful number, since it uses less digits than its factorization.

5338396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5338396800 is about 73064.3332960755. Note that the first 3 decimals coincide. The cubic root of 5338396800 is about 1747.7136727801.

The spelling of 5338396800 in words is "five billion, three hundred thirty-eight million, three hundred ninety-six thousand, eight hundred".