36201600 has 192 divisors, whose sum is σ = 132804000. Its totient is φ = 9630720.

The previous prime is 36201587. The next prime is 36201617. The reversal of 36201600 is 610263.

It is a happy number.

36201600 is a `hidden beast` number, since 3 + 62 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 86191 + ... + 86609.

Almost surely, 2^36201600 is an apocalyptic number.

36201600 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 36201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66402000).

36201600 is an abundant number, since it is smaller than the sum of its proper divisors (96602400).

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

36201600 is a wasteful number, since it uses less digits than its factorization.

36201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 36201600 is about 6016.7765456264. The cubic root of 36201600 is about 330.8079376705.

Adding to 36201600 its reverse (610263), we get a palindrome (36811863).

The spelling of 36201600 in words is "thirty-six million, two hundred one thousand, six hundred".