36079344 has 200 divisors, whose sum is σ = 123512928. Its totient is φ = 9953280.

The previous prime is 36079343. The next prime is 36079349. The reversal of 36079344 is 44397063.

36079344 = 918² + 919² + ... + 958².

36079344 is a `hidden beast` number, since 3 + 607 + 9 + 3 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 36079299 and 36079308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36079343) 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 39 ways as a sum of consecutive naturals, for example, 371904 + ... + 372000.

Almost surely, 2^36079344 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 36079344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61756464).

36079344 is an abundant number, since it is smaller than the sum of its proper divisors (87433584).

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

36079344 is a wasteful number, since it uses less digits than its factorization.

36079344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 36079344 is about 6006.6083607973. The cubic root of 36079344 is about 330.4351284793.

The spelling of 36079344 in words is "thirty-six million, seventy-nine thousand, three hundred forty-four".