36652320 has 72 divisors (see below), whose sum is σ = 125080956. Its totient is φ = 9773568.

The previous prime is 36652313. The next prime is 36652321. The reversal of 36652320 is 2325663.

36652320 is a `hidden beast` number, since 3 + 6 + 652 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36433296 + 219024 = 6036^2 + 468^2 .

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

It is a super-2 number, since 2×36652320² = 2686785122764800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36652321) 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, 11287 + ... + 14166.

Almost surely, 2^36652320 is an apocalyptic number.

36652320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36652320 is an abundant number, since it is smaller than the sum of its proper divisors (88428636).

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

36652320 is a wasteful number, since it uses less digits than its factorization.

36652320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25474 (or 25463 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 36652320 is about 6054.1159552820. The cubic root of 36652320 is about 332.1751628059.

Adding to 36652320 its reverse (2325663), we get a palindrome (38977983).

The spelling of 36652320 in words is "thirty-six million, six hundred fifty-two thousand, three hundred twenty".