36100800 has 252 divisors, whose sum is σ = 135117840. Its totient is φ = 9123840.

The previous prime is 36100783. The next prime is 36100807. The reversal of 36100800 is 800163.

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

It is not an unprimeable number, because it can be changed into a prime (36100807) 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 35 ways as a sum of consecutive naturals, for example, 331146 + ... + 331254.

Almost surely, 2^36100800 is an apocalyptic number.

36100800 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 36100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67558920).

36100800 is an abundant number, since it is smaller than the sum of its proper divisors (99017040).

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

36100800 is a wasteful number, since it uses less digits than its factorization.

36100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 36100800 is about 6008.3941282176. The cubic root of 36100800 is about 330.5006175781.

Adding to 36100800 its reverse (800163), we get a palindrome (36900963).

The spelling of 36100800 in words is "thirty-six million, one hundred thousand, eight hundred".