36546242208 has 144 divisors (see below), whose sum is σ = 115713662400. Its totient is φ = 9892150272.

The previous prime is 36546242203. The next prime is 36546242237. The reversal of 36546242208 is 80224264563.

It is a super-3 number, since 3×36546242208³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 36546242208.

It is not an unprimeable number, because it can be changed into a prime (36546242203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167268 + ... + 317916.

It is an arithmetic number, because the mean of its divisors is an integer number (803567100).

Almost surely, 2^36546242208 is an apocalyptic number.

36546242208 is a gapful number since it is divisible by the number (38) 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 36546242208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57856831200).

36546242208 is an abundant number, since it is smaller than the sum of its proper divisors (79167420192).

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

36546242208 is a wasteful number, since it uses less digits than its factorization.

36546242208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150707 (or 150680 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 36546242208 in words is "thirty-six billion, five hundred forty-six million, two hundred forty-two thousand, two hundred eight".