36725889600 has 189 divisors, whose sum is σ = 130614270267. Its totient is φ = 9787438080.

The previous prime is 36725889593. The next prime is 36725889611. The reversal of 36725889600 is 698852763.

It is a happy number.

The square root of 36725889600 is 191640.

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

36725889600 is a `hidden beast` number, since 3 + 6 + 7 + 25 + 8 + 8 + 9 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7328729664 + 29397159936 = 85608^2 + 171456^2 .

It is a super-2 number, since 2×36725889600² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22996002 + ... + 22997598.

Almost surely, 2^36725889600 is an apocalyptic number.

36725889600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36725889600 is the 191640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36725889600

36725889600 is an abundant number, since it is smaller than the sum of its proper divisors (93888380667).

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

36725889600 is an equidigital number, since it uses as much as digits as its factorization.

36725889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 36725889600 in words is "thirty-six billion, seven hundred twenty-five million, eight hundred eighty-nine thousand, six hundred".