36390816 has 192 divisors, whose sum is σ = 132572160. Its totient is φ = 9434880.

The previous prime is 36390799. The next prime is 36390841. The reversal of 36390816 is 61809363.

It is a happy number.

36390816 is a `hidden beast` number, since 3 + 639 + 0 + 8 + 16 = 666.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 66255 + ... + 66801.

It is an arithmetic number, because the mean of its divisors is an integer number (690480).

Almost surely, 2^36390816 is an apocalyptic number.

36390816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36390816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66286080).

36390816 is an abundant number, since it is smaller than the sum of its proper divisors (96181344).

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

36390816 is a wasteful number, since it uses less digits than its factorization.

36390816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 36390816 is about 6032.4800869957. The cubic root of 36390816 is about 331.3832843959.

The spelling of 36390816 in words is "thirty-six million, three hundred ninety thousand, eight hundred sixteen".