36112400 has 30 divisors (see below), whose sum is σ = 86761002. Its totient is φ = 14444800.

The previous prime is 36112399. The next prime is 36112411. The reversal of 36112400 is 421163.

It can be written as a sum of positive squares in 3 ways, for example, as 2611456 + 33500944 = 1616^2 + 5788^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 44741 + ... + 45540.

Almost surely, 2^36112400 is an apocalyptic number.

It is an amenable number.

36112400 is an abundant number, since it is smaller than the sum of its proper divisors (50648602).

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

36112400 is a wasteful number, since it uses less digits than its factorization.

36112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90299 (or 90288 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 36112400 is about 6009.3593668543. The cubic root of 36112400 is about 330.5360128842.

Adding to 36112400 its reverse (421163), we get a palindrome (36533563).

The spelling of 36112400 in words is "thirty-six million, one hundred twelve thousand, four hundred".