36483729282 has 576 divisors, whose sum is σ = 115030056960. Its totient is φ = 8066822400.

The previous prime is 36483729259. The next prime is 36483729311. The reversal of 36483729282 is 28292738463.

36483729282 is a `hidden beast` number, since 3 + 6 + 483 + 72 + 92 + 8 + 2 = 666.

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 287 ways as a sum of consecutive naturals, for example, 461819319 + ... + 461819397.

It is an arithmetic number, because the mean of its divisors is an integer number (199704960).

Almost surely, 2^36483729282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36483729282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57515028480).

36483729282 is an abundant number, since it is smaller than the sum of its proper divisors (78546327678).

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

36483729282 is a wasteful number, since it uses less digits than its factorization.

36483729282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 205 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 36483729282 in words is "thirty-six billion, four hundred eighty-three million, seven hundred twenty-nine thousand, two hundred eighty-two".