36321600042 has 256 divisors, whose sum is σ = 103034695680. Its totient is φ = 9228370176.

The previous prime is 36321600041. The next prime is 36321600109. The reversal of 36321600042 is 24000612363.

36321600042 is a `hidden beast` number, since 36 + 3 + 21 + 600 + 0 + 4 + 2 = 666.

36321600042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36321600042² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 36321599979 and 36321600015.

It is not an unprimeable number, because it can be changed into a prime (36321600041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19453593 + ... + 19455459.

It is an arithmetic number, because the mean of its divisors is an integer number (402479280).

Almost surely, 2^36321600042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36321600042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51517347840).

36321600042 is an abundant number, since it is smaller than the sum of its proper divisors (66713095638).

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

36321600042 is a wasteful number, since it uses less digits than its factorization.

36321600042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 36321600042 in words is "thirty-six billion, three hundred twenty-one million, six hundred thousand, forty-two".