36411444 has 60 divisors (see below), whose sum is σ = 97543908. Its totient is φ = 11836800.

The previous prime is 36411439. The next prime is 36411457. The reversal of 36411444 is 44411463.

36411444 is a `hidden beast` number, since 3 + 641 + 14 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5475600 + 30935844 = 2340^2 + 5562^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

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 19 ways as a sum of consecutive naturals, for example, 11914 + ... + 14654.

Almost surely, 2^36411444 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 36411444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48771954).

36411444 is an abundant number, since it is smaller than the sum of its proper divisors (61132464).

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

36411444 is a wasteful number, since it uses less digits than its factorization.

36411444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2787 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 36411444 is about 6034.1895893318. The cubic root of 36411444 is about 331.4458870334.

The spelling of 36411444 in words is "thirty-six million, four hundred eleven thousand, four hundred forty-four".