36444100 has 72 divisors (see below), whose sum is σ = 98618688. Its totient is φ = 11356800.

The previous prime is 36444061. The next prime is 36444103. The reversal of 36444100 is 144463.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36444103) 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 23 ways as a sum of consecutive naturals, for example, 5334 + ... + 10066.

It is an arithmetic number, because the mean of its divisors is an integer number (1369704).

Almost surely, 2^36444100 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 36444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49309344).

36444100 is an abundant number, since it is smaller than the sum of its proper divisors (62174588).

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

36444100 is a wasteful number, since it uses less digits than its factorization.

36444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765 (or 4758 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 36444100 is about 6036.8948972133. The cubic root of 36444100 is about 331.5449443766.

Adding to 36444100 its reverse (144463), we get a palindrome (36588563).

It can be divided in two parts, 3644 and 4100, that added together give a square (7744 = 88²).

The spelling of 36444100 in words is "thirty-six million, four hundred forty-four thousand, one hundred".