36414400 has 84 divisors (see below), whose sum is σ = 97795080. Its totient is φ = 13235200.

The previous prime is 36414397. The next prime is 36414403. The reversal of 36414400 is 441463.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36414397) and next prime (36414403).

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 (36414403) 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, 16566 + ... + 18634.

Almost surely, 2^36414400 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 36414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48897540).

36414400 is an abundant number, since it is smaller than the sum of its proper divisors (61380680).

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

36414400 is a wasteful number, since it uses less digits than its factorization.

36414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2087 counting only the distinct ones).

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

The square root of 36414400 is about 6034.4345219747. The cubic root of 36414400 is about 331.4548560774.

Adding to 36414400 its reverse (441463), we get a palindrome (36855863).

The spelling of 36414400 in words is "thirty-six million, four hundred fourteen thousand, four hundred".