36132400 has 60 divisors (see below), whose sum is σ = 87750832. Its totient is φ = 14296320.

The previous prime is 36132359. The next prime is 36132413. The reversal of 36132400 is 423163.

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 11 ways as a sum of consecutive naturals, for example, 40762 + ... + 41638.

Almost surely, 2^36132400 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 36132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43875416).

36132400 is an abundant number, since it is smaller than the sum of its proper divisors (51618432).

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

36132400 is a wasteful number, since it uses less digits than its factorization.

36132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 36132400 is about 6011.0232074082. The cubic root of 36132400 is about 330.5970214781.

Adding to 36132400 its reverse (423163), we get a palindrome (36555563).

It can be divided in two parts, 361 and 32400, that multiplied together give a square (11696400 = 3420²).

The spelling of 36132400 in words is "thirty-six million, one hundred thirty-two thousand, four hundred".