36405504 has 144 divisors (see below), whose sum is σ = 112828800. Its totient is φ = 11556864.

The previous prime is 36405503. The next prime is 36405511. The reversal of 36405504 is 40550463.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (36405503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158862 + ... + 159090.

Almost surely, 2^36405504 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 36405504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56414400).

36405504 is an abundant number, since it is smaller than the sum of its proper divisors (76423296).

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

36405504 is a wasteful number, since it uses less digits than its factorization.

36405504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 36405504 is about 6033.6973739159. The cubic root of 36405504 is about 331.4278625204.

Adding to 36405504 its reverse (40550463), we get a palindrome (76955967).

The spelling of 36405504 in words is "thirty-six million, four hundred five thousand, five hundred four".