36810816 has 112 divisors (see below), whose sum is σ = 113385600. Its totient is φ = 10321920.

The previous prime is 36810811. The next prime is 36810827. The reversal of 36810816 is 61801863.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (36810811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81760 + ... + 82208.

Almost surely, 2^36810816 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 36810816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56692800).

36810816 is an abundant number, since it is smaller than the sum of its proper divisors (76574784).

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

36810816 is a wasteful number, since it uses less digits than its factorization.

36810816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 36810816 is about 6067.1917721463. The cubic root of 36810816 is about 332.6532837635.

The spelling of 36810816 in words is "thirty-six million, eight hundred ten thousand, eight hundred sixteen".