36104000 has 56 divisors (see below), whose sum is σ = 89431368. Its totient is φ = 14438400.

The previous prime is 36103987. The next prime is 36104017. The reversal of 36104000 is 40163.

It can be written as a sum of positive squares in 4 ways, for example, as 11343424 + 24760576 = 3368^2 + 4976^2 .

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 7 ways as a sum of consecutive naturals, for example, 5744 + ... + 10256.

Almost surely, 2^36104000 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 36104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44715684).

36104000 is an abundant number, since it is smaller than the sum of its proper divisors (53327368).

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

36104000 is an equidigital number, since it uses as much as digits as its factorization.

36104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 36104000 is about 6008.6604164323. The cubic root of 36104000 is about 330.5103825577.

Adding to 36104000 its reverse (40163), we get a palindrome (36144163).

It can be divided in two parts, 3610 and 4000, that multiplied together give a square (14440000 = 3800²).

The spelling of 36104000 in words is "thirty-six million, one hundred four thousand".