3636782222112 has 672 divisors, whose sum is σ = 12028823364096. Its totient is φ = 1074282393600.

The previous prime is 3636782222107. The next prime is 3636782222113. The reversal of 3636782222112 is 2112222876363.

3636782222112 is a `hidden beast` number, since 3 + 636 + 7 + 8 + 2 + 2 + 2 + 2 + 1 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (3636782222113) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1231553628 + ... + 1231556580.

It is an arithmetic number, because the mean of its divisors is an integer number (17900034768).

Almost surely, 2^{3636782222112} is an apocalyptic number.

3636782222112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3636782222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014411682048).

3636782222112 is an abundant number, since it is smaller than the sum of its proper divisors (8392041141984).

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

3636782222112 is a wasteful number, since it uses less digits than its factorization.

3636782222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3133 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 3636782222112 in words is "three trillion, six hundred thirty-six billion, seven hundred eighty-two million, two hundred twenty-two thousand, one hundred twelve".