5735347200 has 792 divisors, whose sum is σ = 23441523456. Its totient is φ = 1327104000.

The previous prime is 5735347193. The next prime is 5735347213. The reversal of 5735347200 is 27435375.

5735347200 is a `hidden beast` number, since 57 + 3 + 534 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78566364 + ... + 78566436.

Almost surely, 2^5735347200 is an apocalyptic number.

5735347200 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 5735347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11720761728).

5735347200 is an abundant number, since it is smaller than the sum of its proper divisors (17706176256).

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

5735347200 is a wasteful number, since it uses less digits than its factorization.

5735347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 5735347200 is about 75732.0751069189. The cubic root of 5735347200 is about 1790.0008530733. Note that the first 3 decimals are identical.

The spelling of 5735347200 in words is "five billion, seven hundred thirty-five million, three hundred forty-seven thousand, two hundred".