5735738400 has 288 divisors, whose sum is σ = 21446627328. Its totient is φ = 1304294400.

The previous prime is 5735738383. The next prime is 5735738401. The reversal of 5735738400 is 48375375.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5735738401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3745635 + ... + 3747165.

It is an arithmetic number, because the mean of its divisors is an integer number (74467456).

Almost surely, 2^5735738400 is an apocalyptic number.

5735738400 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 5735738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10723313664).

5735738400 is an abundant number, since it is smaller than the sum of its proper divisors (15710888928).

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

5735738400 is a wasteful number, since it uses less digits than its factorization.

5735738400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 5735738400 is about 75734.6578522673. The cubic root of 5735738400 is about 1790.0415499651.

The spelling of 5735738400 in words is "five billion, seven hundred thirty-five million, seven hundred thirty-eight thousand, four hundred".