36861122304 has 270 divisors, whose sum is σ = 116777983784. Its totient is φ = 11562393600.

The previous prime is 36861122297. The next prime is 36861122323. The reversal of 36861122304 is 40322116863.

36861122304 is a `hidden beast` number, since 3 + 6 + 8 + 611 + 2 + 2 + 30 + 4 = 666.

It is a super-3 number, since 3×36861122304³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 5989629 + ... + 5995779.

Almost surely, 2^36861122304 is an apocalyptic number.

36861122304 is a gapful number since it is divisible by the number (34) 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 36861122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58388991892).

36861122304 is an abundant number, since it is smaller than the sum of its proper divisors (79916861480).

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

36861122304 is an equidigital number, since it uses as much as digits as its factorization.

36861122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6213 (or 6173 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 36861122304 in words is "thirty-six billion, eight hundred sixty-one million, one hundred twenty-two thousand, three hundred four".