36108849600 has 672 divisors, whose sum is σ = 138481612800. Its totient is φ = 9140428800.

The previous prime is 36108849593. The next prime is 36108849607. The reversal of 36108849600 is 694880163.

36108849600 is a `hidden beast` number, since 36 + 1 + 0 + 8 + 8 + 4 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (36108849593) and next prime (36108849607).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36108849607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79012572 + ... + 79013028.

Almost surely, 2^36108849600 is an apocalyptic number.

36108849600 is a gapful number since it is divisible by the number (30) 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 36108849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69240806400).

36108849600 is an abundant number, since it is smaller than the sum of its proper divisors (102372763200).

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

36108849600 is a wasteful number, since it uses less digits than its factorization.

36108849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 36108849600 in words is "thirty-six billion, one hundred eight million, eight hundred forty-nine thousand, six hundred".