5734800 has 180 divisors, whose sum is σ = 20988240. Its totient is φ = 1503360.

The previous prime is 5734747. The next prime is 5734801. The reversal of 5734800 is 84375.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5734801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97171 + ... + 97229.

Almost surely, 2^5734800 is an apocalyptic number.

5734800 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 5734800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10494120).

5734800 is an abundant number, since it is smaller than the sum of its proper divisors (15253440).

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

5734800 is a wasteful number, since it uses less digits than its factorization.

5734800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5734800 is about 2394.7442452170. The cubic root of 5734800 is about 178.9943924255.

The spelling of 5734800 in words is "five million, seven hundred thirty-four thousand, eight hundred".