36882816 has 64 divisors (see below), whose sum is σ = 98817600. Its totient is φ = 12188160.

The previous prime is 36882803. The next prime is 36882871. The reversal of 36882816 is 61828863.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

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, 53031 + ... + 53721.

It is an arithmetic number, because the mean of its divisors is an integer number (1544025).

Almost surely, 2^36882816 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 36882816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49408800).

36882816 is an abundant number, since it is smaller than the sum of its proper divisors (61934784).

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

36882816 is a wasteful number, since it uses less digits than its factorization.

36882816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 835 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 36882816 is about 6073.1224259025. The cubic root of 36882816 is about 332.8700265611.

The spelling of 36882816 in words is "thirty-six million, eight hundred eighty-two thousand, eight hundred sixteen".