5348355600 has 960 divisors, whose sum is σ = 22672834560. Its totient is φ = 1049241600.

The previous prime is 5348355583. The next prime is 5348355613. The reversal of 5348355600 is 65538435.

It is a super-3 number, since 3×5348355600³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113794777 + ... + 113794823.

It is an arithmetic number, because the mean of its divisors is an integer number (23617536).

Almost surely, 2^5348355600 is an apocalyptic number.

5348355600 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 5348355600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11336417280).

5348355600 is an abundant number, since it is smaller than the sum of its proper divisors (17324478960).

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

5348355600 is a wasteful number, since it uses less digits than its factorization.

5348355600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The square root of 5348355600 is about 73132.4524407598. The cubic root of 5348355600 is about 1748.7997865621.

The spelling of 5348355600 in words is "five billion, three hundred forty-eight million, three hundred fifty-five thousand, six hundred".