363036268 has 48 divisors (see below), whose sum is σ = 790675200. Its totient is φ = 142309440.

The previous prime is 363036259. The next prime is 363036269. The reversal of 363036268 is 862630363.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (363036269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3663 + ... + 27193.

It is an arithmetic number, because the mean of its divisors is an integer number (16472400).

Almost surely, 2^363036268 is an apocalyptic number.

363036268 is a gapful number since it is divisible by the number (38) 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 363036268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395337600).

363036268 is an abundant number, since it is smaller than the sum of its proper divisors (427638932).

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

363036268 is a wasteful number, since it uses less digits than its factorization.

363036268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23590 (or 23588 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

The square root of 363036268 is about 19053.5106476471. The cubic root of 363036268 is about 713.3730055284.

The spelling of 363036268 in words is "three hundred sixty-three million, thirty-six thousand, two hundred sixty-eight".