5634003600 has 315 divisors, whose sum is σ = 20441308953. Its totient is φ = 1491592320.

The previous prime is 5634003587. The next prime is 5634003619. The reversal of 5634003600 is 63004365.

The square root of 5634003600 is 75060.

It is a perfect power (a square), and thus also a powerful number.

5634003600 is a `hidden beast` number, since 56 + 3 + 4 + 0 + 0 + 3 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2028241296 + 3605762304 = 45036^2 + 60048^2 .

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

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 40532331 + ... + 40532469.

Almost surely, 2^5634003600 is an apocalyptic number.

5634003600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5634003600 is the 75060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5634003600

5634003600 is an abundant number, since it is smaller than the sum of its proper divisors (14807305353).

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

5634003600 is an equidigital number, since it uses as much as digits as its factorization.

5634003600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The cubic root of 5634003600 is about 1779.3950307039.

Adding to 5634003600 its reverse (63004365), we get a palindrome (5697007965).

The spelling of 5634003600 in words is "five billion, six hundred thirty-four million, three thousand, six hundred".