36313200 has 360 divisors, whose sum is σ = 158311296. Its totient is φ = 7488000.

The previous prime is 36313181. The next prime is 36313201. The reversal of 36313200 is 231363.

It is a happy number.

36313200 is a `hidden beast` number, since 3 + 631 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36313201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 277135 + ... + 277265.

Almost surely, 2^36313200 is an apocalyptic number.

36313200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79155648).

36313200 is an abundant number, since it is smaller than the sum of its proper divisors (121998096).

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

36313200 is a wasteful number, since it uses less digits than its factorization.

36313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 36313200 is about 6026.0434781040. The cubic root of 36313200 is about 331.1475202153.

Adding to 36313200 its reverse (231363), we get a palindrome (36544563).

It can be divided in two parts, 36 and 313200, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 36313200 in words is "thirty-six million, three hundred thirteen thousand, two hundred".