36319242822100 has 288 divisors, whose sum is σ = 95341175552000. Its totient is φ = 11731193971200.

The previous prime is 36319242822073. The next prime is 36319242822133. The reversal of 36319242822100 is 122824291363.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8101546459 + ... + 8101550941.

Almost surely, 2^{36319242822100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36319242822100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47670587776000).

36319242822100 is an abundant number, since it is smaller than the sum of its proper divisors (59021932729900).

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

36319242822100 is a wasteful number, since it uses less digits than its factorization.

36319242822100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7783 (or 7776 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 36319242822100 in words is "thirty-six trillion, three hundred nineteen billion, two hundred forty-two million, eight hundred twenty-two thousand, one hundred".