36364320 has 72 divisors (see below), whose sum is σ = 124098156. Its totient is φ = 9696768.

The previous prime is 36364319. The next prime is 36364327. The reversal of 36364320 is 2346363.

36364320 is a `hidden beast` number, since 3 + 636 + 4 + 3 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34715664 + 1648656 = 5892^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (36364327) 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, 11187 + ... + 14066.

Almost surely, 2^36364320 is an apocalyptic number.

36364320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36364320 is an abundant number, since it is smaller than the sum of its proper divisors (87733836).

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

36364320 is a wasteful number, since it uses less digits than its factorization.

36364320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25274 (or 25263 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 36364320 is about 6030.2835754216. The cubic root of 36364320 is about 331.3028386104.

The spelling of 36364320 in words is "thirty-six million, three hundred sixty-four thousand, three hundred twenty".