36226800 has 180 divisors, whose sum is σ = 130426920. Its totient is φ = 9300480.

The previous prime is 36226789. The next prime is 36226807. The reversal of 36226800 is 862263.

It is a tau number, because it is divible by the number of its divisors (180).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36226807) 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, 104227 + ... + 104573.

It is an arithmetic number, because the mean of its divisors is an integer number (724594).

Almost surely, 2^36226800 is an apocalyptic number.

36226800 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 36226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65213460).

36226800 is an abundant number, since it is smaller than the sum of its proper divisors (94200120).

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

36226800 is a wasteful number, since it uses less digits than its factorization.

36226800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36226800 is about 6018.8703259000. The cubic root of 36226800 is about 330.8846785370.

The spelling of 36226800 in words is "thirty-six million, two hundred twenty-six thousand, eight hundred".