5734310400 has 720 divisors, whose sum is σ = 25303422144. Its totient is φ = 1207664640.

The previous prime is 5734310399. The next prime is 5734310437. The reversal of 5734310400 is 40134375.

5734310400 is a `hidden beast` number, since 573 + 43 + 10 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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, 10482927 + ... + 10483473.

Almost surely, 2^5734310400 is an apocalyptic number.

5734310400 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 5734310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12651711072).

5734310400 is an abundant number, since it is smaller than the sum of its proper divisors (19569111744).

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

5734310400 is a wasteful number, since it uses less digits than its factorization.

5734310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5734310400 is about 75725.2296133858. The cubic root of 5734310400 is about 1789.8929848738.

Adding to 5734310400 its reverse (40134375), we get a palindrome (5774444775).

The spelling of 5734310400 in words is "five billion, seven hundred thirty-four million, three hundred ten thousand, four hundred".