36368900 has 36 divisors (see below), whose sum is σ = 81648420. Its totient is φ = 14044800.

The previous prime is 36368879. The next prime is 36368903. The reversal of 36368900 is 986363.

It can be written as a sum of positive squares in 6 ways, for example, as 200704 + 36168196 = 448^2 + 6014^2 .

It is not an unprimeable number, because it can be changed into a prime (36368903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3371 + ... + 9170.

Almost surely, 2^36368900 is an apocalyptic number.

It is an amenable number.

36368900 is an abundant number, since it is smaller than the sum of its proper divisors (45279520).

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

36368900 is a wasteful number, since it uses less digits than its factorization.

36368900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12584 (or 12577 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 36368900 is about 6030.6633134341. The cubic root of 36368900 is about 331.3167469625.

The spelling of 36368900 in words is "thirty-six million, three hundred sixty-eight thousand, nine hundred".