36444408 has 256 divisors, whose sum is σ = 128701440. Its totient is φ = 8294400.

The previous prime is 36444407. The next prime is 36444427. The reversal of 36444408 is 80444463.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36444407) 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 63 ways as a sum of consecutive naturals, for example, 888868 + ... + 888908.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 2^36444408 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 36444408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64350720).

36444408 is an abundant number, since it is smaller than the sum of its proper divisors (92257032).

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

36444408 is a wasteful number, since it uses less digits than its factorization.

36444408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 36444408 is about 6036.9204069625. The cubic root of 36444408 is about 331.5458783692.

It can be divided in two parts, 36 and 444408, that added together give a palindrome (444444).

The spelling of 36444408 in words is "thirty-six million, four hundred forty-four thousand, four hundred eight".