36810368 has 48 divisors (see below), whose sum is σ = 85320450. Its totient is φ = 15773184.

The previous prime is 36810349. The next prime is 36810379. The reversal of 36810368 is 86301863.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 35904064 + 906304 = 5992^2 + 952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3338 + ... + 9206.

Almost surely, 2^36810368 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 36810368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42660225).

36810368 is an abundant number, since it is smaller than the sum of its proper divisors (48510082).

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

36810368 is an equidigital number, since it uses as much as digits as its factorization.

36810368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 36810368 is about 6067.1548521527. The cubic root of 36810368 is about 332.6519342572.

The spelling of 36810368 in words is "thirty-six million, eight hundred ten thousand, three hundred sixty-eight".