363002016 has 96 divisors (see below), whose sum is σ = 1032490368. Its totient is φ = 111006720.

The previous prime is 363001981. The next prime is 363002039. The reversal of 363002016 is 610200363.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 363001983 and 363002001.

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 15 ways as a sum of consecutive naturals, for example, 225085 + ... + 226691.

It is an arithmetic number, because the mean of its divisors is an integer number (10755108).

Almost surely, 2^363002016 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 363002016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516245184).

363002016 is an abundant number, since it is smaller than the sum of its proper divisors (669488352).

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

363002016 is a wasteful number, since it uses less digits than its factorization.

363002016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 363002016 is about 19052.6117894634. The cubic root of 363002016 is about 713.3505695508.

Adding to 363002016 its reverse (610200363), we get a palindrome (973202379).

The spelling of 363002016 in words is "three hundred sixty-three million, two thousand, sixteen".