369813168 has 80 divisors (see below), whose sum is σ = 1064991360. Its totient is φ = 122865984.

The previous prime is 369813163. The next prime is 369813181. The reversal of 369813168 is 861318963.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (369813163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148671 + ... + 151137.

It is an arithmetic number, because the mean of its divisors is an integer number (13312392).

Almost surely, 2^369813168 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 369813168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532495680).

369813168 is an abundant number, since it is smaller than the sum of its proper divisors (695178192).

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

369813168 is a wasteful number, since it uses less digits than its factorization.

369813168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2819 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 369813168 is about 19230.5269818588. The cubic root of 369813168 is about 717.7845790892.

The spelling of 369813168 in words is "three hundred sixty-nine million, eight hundred thirteen thousand, one hundred sixty-eight".