36808416 has 36 divisors (see below), whose sum is σ = 104674752. Its totient is φ = 12269376.

The previous prime is 36808411. The next prime is 36808423. The reversal of 36808416 is 61480863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36808411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63616 + ... + 64191.

It is an arithmetic number, because the mean of its divisors is an integer number (2907632).

Almost surely, 2^36808416 is an apocalyptic number.

36808416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36808416 is an abundant number, since it is smaller than the sum of its proper divisors (67866336).

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

36808416 is a wasteful number, since it uses less digits than its factorization.

36808416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127823 (or 127812 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 36808416 is about 6066.9939838441. The cubic root of 36808416 is about 332.6460541381.

The spelling of 36808416 in words is "thirty-six million, eight hundred eight thousand, four hundred sixteen".