36368600 has 96 divisors (see below), whose sum is σ = 89190720. Its totient is φ = 13777920.

The previous prime is 36368573. The next prime is 36368621. The reversal of 36368600 is 686363.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498164 + ... + 498236.

It is an arithmetic number, because the mean of its divisors is an integer number (929070).

Almost surely, 2^36368600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36368600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44595360).

36368600 is an abundant number, since it is smaller than the sum of its proper divisors (52822120).

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

36368600 is a wasteful number, since it uses less digits than its factorization.

36368600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 36368600 is about 6030.6384404970. The cubic root of 36368600 is about 331.3158359708.

The spelling of 36368600 in words is "thirty-six million, three hundred sixty-eight thousand, six hundred".