368322816 has 72 divisors (see below), whose sum is σ = 1037975904. Its totient is φ = 115548160.

The previous prime is 368322797. The next prime is 368322839. The reversal of 368322816 is 618223863.

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

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 7 ways as a sum of consecutive naturals, for example, 1050 + ... + 27161.

It is an arithmetic number, because the mean of its divisors is an integer number (14416332).

Almost surely, 2^368322816 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 368322816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518987952).

368322816 is an abundant number, since it is smaller than the sum of its proper divisors (669653088).

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

368322816 is a wasteful number, since it uses less digits than its factorization.

368322816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28247 (or 28233 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 368322816 is about 19191.7382224748. The cubic root of 368322816 is about 716.8190537558.

The spelling of 368322816 in words is "three hundred sixty-eight million, three hundred twenty-two thousand, eight hundred sixteen".