36441448344 has 192 divisors, whose sum is σ = 117569088000. Its totient is φ = 10358751744.

The previous prime is 36441448313. The next prime is 36441448361. The reversal of 36441448344 is 44384414463.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 36441448344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2701264 + ... + 2714720.

It is an arithmetic number, because the mean of its divisors is an integer number (612339000).

Almost surely, 2^36441448344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36441448344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58784544000).

36441448344 is an abundant number, since it is smaller than the sum of its proper divisors (81127639656).

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

36441448344 is a wasteful number, since it uses less digits than its factorization.

36441448344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13684 (or 13668 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 45.

The spelling of 36441448344 in words is "thirty-six billion, four hundred forty-one million, four hundred forty-eight thousand, three hundred forty-four".