5348335200 has 576 divisors, whose sum is σ = 19898851392. Its totient is φ = 1238630400.

The previous prime is 5348335193. The next prime is 5348335207. The reversal of 5348335200 is 25338435.

It is an interprime number because it is at equal distance from previous prime (5348335193) and next prime (5348335207).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5348335207) 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, 47330344 + ... + 47330456.

It is an arithmetic number, because the mean of its divisors is an integer number (34546617).

Almost surely, 2^5348335200 is an apocalyptic number.

5348335200 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 5348335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9949425696).

5348335200 is an abundant number, since it is smaller than the sum of its proper divisors (14550516192).

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

5348335200 is a wasteful number, since it uses less digits than its factorization.

5348335200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 5348335200 is about 73132.3129676616. The cubic root of 5348335200 is about 1748.7975631023.

The spelling of 5348335200 in words is "five billion, three hundred forty-eight million, three hundred thirty-five thousand, two hundred".