36771897600 has 729 divisors, whose sum is σ = 142690769767. Its totient is φ = 9032663040.

The previous prime is 36771897577. The next prime is 36771897607. The reversal of 36771897600 is 679817763.

The square root of 36771897600 is 191760.

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

It can be written as a sum of positive squares in 4 ways, for example, as 860131584 + 35911766016 = 29328^2 + 189504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36771897607) 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 80 ways as a sum of consecutive naturals, for example, 782380777 + ... + 782380823.

Almost surely, 2^36771897600 is an apocalyptic number.

36771897600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36771897600 is the 191760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36771897600

36771897600 is an abundant number, since it is smaller than the sum of its proper divisors (105918872167).

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

36771897600 is a wasteful number, since it uses less digits than its factorization.

36771897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 36771897600 in words is "thirty-six billion, seven hundred seventy-one million, eight hundred ninety-seven thousand, six hundred".