36896416 has 24 divisors (see below), whose sum is σ = 75799584. Its totient is φ = 17645760.

The previous prime is 36896407. The next prime is 36896441. The reversal of 36896416 is 61469863.

36896416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36896416² = 2722691027290112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24330 + ... + 25801.

It is an arithmetic number, because the mean of its divisors is an integer number (3158316).

Almost surely, 2^36896416 is an apocalyptic number.

It is an amenable number.

36896416 is an abundant number, since it is smaller than the sum of its proper divisors (38903168).

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

36896416 is a wasteful number, since it uses less digits than its factorization.

36896416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50164 (or 50156 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The square root of 36896416 is about 6074.2420103252. The cubic root of 36896416 is about 332.9109351877.

The spelling of 36896416 in words is "thirty-six million, eight hundred ninety-six thousand, four hundred sixteen".