36382477104 has 720 divisors, whose sum is σ = 125201138400. Its totient is φ = 10158317568.

The previous prime is 36382477097. The next prime is 36382477129. The reversal of 36382477104 is 40177428363.

36382477104 is a `hidden beast` number, since 3 + 638 + 2 + 4 + 7 + 7 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 36382477104.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 983310174 + ... + 983310210.

It is an arithmetic number, because the mean of its divisors is an integer number (173890470).

Almost surely, 2^36382477104 is an apocalyptic number.

36382477104 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 36382477104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62600569200).

36382477104 is an abundant number, since it is smaller than the sum of its proper divisors (88818661296).

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

36382477104 is a wasteful number, since it uses less digits than its factorization.

36382477104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 36382477104 in words is "thirty-six billion, three hundred eighty-two million, four hundred seventy-seven thousand, one hundred four".