36122803600 has 405 divisors, whose sum is σ = 102202958313. Its totient is φ = 12261150720.

The previous prime is 36122803597. The next prime is 36122803601. The reversal of 36122803600 is 630822163.

The square root of 36122803600 is 190060.

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

It can be written as a sum of positive squares in 13 ways, for example, as 26307542416 + 9815261184 = 162196^2 + 99072^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36122803601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 840065179 + ... + 840065221.

Almost surely, 2^36122803600 is an apocalyptic number.

36122803600 is the 190060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36122803600

36122803600 is an abundant number, since it is smaller than the sum of its proper divisors (66080154713).

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

36122803600 is a wasteful number, since it uses less digits than its factorization.

36122803600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 36122803600 in words is "thirty-six billion, one hundred twenty-two million, eight hundred three thousand, six hundred".