36804416 has 56 divisors (see below), whose sum is σ = 83173824. Its totient is φ = 15994880.

The previous prime is 36804389. The next prime is 36804421. The reversal of 36804416 is 61440863.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15056 + ... + 17328.

Almost surely, 2^36804416 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 36804416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41586912).

36804416 is an abundant number, since it is smaller than the sum of its proper divisors (46369408).

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

36804416 is a wasteful number, since it uses less digits than its factorization.

36804416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 36804416 is about 6066.6643223439. The cubic root of 36804416 is about 332.6340040640.

The spelling of 36804416 in words is "thirty-six million, eight hundred four thousand, four hundred sixteen".