36508400 has 60 divisors (see below), whose sum is σ = 88634952. Its totient is φ = 14449920.

The previous prime is 36508397. The next prime is 36508403. The reversal of 36508400 is 480563.

It is an interprime number because it is at equal distance from previous prime (36508397) and next prime (36508403).

It is a self number, because there is not a number n which added to its sum of digits gives 36508400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36508403) 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 11 ways as a sum of consecutive naturals, for example, 42374 + ... + 43226.

Almost surely, 2^36508400 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 36508400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44317476).

36508400 is an abundant number, since it is smaller than the sum of its proper divisors (52126552).

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

36508400 is a wasteful number, since it uses less digits than its factorization.

36508400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 36508400 is about 6042.2181357511. The cubic root of 36508400 is about 331.7398164735.

Adding to 36508400 its reverse (480563), we get a palindrome (36988963).

The spelling of 36508400 in words is "thirty-six million, five hundred eight thousand, four hundred".