363146316 has 96 divisors (see below), whose sum is σ = 1017192960. Its totient is φ = 99615744.

The previous prime is 363146269. The next prime is 363146321. The reversal of 363146316 is 613641363.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46785 + ... + 53991.

It is an arithmetic number, because the mean of its divisors is an integer number (10595760).

Almost surely, 2^363146316 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 363146316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508596480).

363146316 is an abundant number, since it is smaller than the sum of its proper divisors (654046644).

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

363146316 is a wasteful number, since it uses less digits than its factorization.

363146316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7263 (or 7261 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The square root of 363146316 is about 19056.3982955857. The cubic root of 363146316 is about 713.4450803670.

Adding to 363146316 its reverse (613641363), we get a palindrome (976787679).

The spelling of 363146316 in words is "three hundred sixty-three million, one hundred forty-six thousand, three hundred sixteen".