5734022400 has 378 divisors, whose sum is σ = 21296481990. Its totient is φ = 1527828480.

The previous prime is 5734022389. The next prime is 5734022443. The reversal of 5734022400 is 42204375.

It can be written as a sum of positive squares in 3 ways, for example, as 1755945216 + 3978077184 = 41904^2 + 63072^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4664986 + ... + 4666214.

Almost surely, 2^5734022400 is an apocalyptic number.

5734022400 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 5734022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10648240995).

5734022400 is an abundant number, since it is smaller than the sum of its proper divisors (15562459590).

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

5734022400 is an equidigital number, since it uses as much as digits as its factorization.

5734022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 5734022400 is about 75723.3279775790. The cubic root of 5734022400 is about 1789.8630191776.

Adding to 5734022400 its reverse (42204375), we get a palindrome (5776226775).

The spelling of 5734022400 in words is "five billion, seven hundred thirty-four million, twenty-two thousand, four hundred".