363315712 has 40 divisors (see below), whose sum is σ = 750984300. Its totient is φ = 175386624.

The previous prime is 363315697. The next prime is 363315713. The reversal of 363315712 is 217513363.

It can be written as a sum of positive squares in 2 ways, for example, as 351037696 + 12278016 = 18736^2 + 3504^2 .

It is a super-3 number, since 3×363315712³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (363315713) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2614 + ... + 27082.

Almost surely, 2^363315712 is an apocalyptic number.

363315712 is a gapful number since it is divisible by the number (32) 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 363315712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375492150).

363315712 is an abundant number, since it is smaller than the sum of its proper divisors (387668588).

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

363315712 is an equidigital number, since it uses as much as digits as its factorization.

363315712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24516 (or 24500 counting only the distinct ones).

The product of its digits is 11340, while the sum is 31.

The square root of 363315712 is about 19060.8423738302. The cubic root of 363315712 is about 713.5559961337. Note that the first 3 decimals are identical.

The spelling of 363315712 in words is "three hundred sixty-three million, three hundred fifteen thousand, seven hundred twelve".