361856268 has 48 divisors (see below), whose sum is σ = 943810560. Its totient is φ = 119890512.

The previous prime is 361856267. The next prime is 361856291. The reversal of 361856268 is 862658163.

361856268 is a `hidden beast` number, since 3 + 6 + 18 + 5 + 626 + 8 = 666.

361856268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (361856267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8005 + ... + 28067.

It is an arithmetic number, because the mean of its divisors is an integer number (19662720).

Almost surely, 2^361856268 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 361856268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471905280).

361856268 is an abundant number, since it is smaller than the sum of its proper divisors (581954292).

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

361856268 is a wasteful number, since it uses less digits than its factorization.

361856268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20243 (or 20235 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 361856268 is about 19022.5200223314. The cubic root of 361856268 is about 712.5992593016.

The spelling of 361856268 in words is "three hundred sixty-one million, eight hundred fifty-six thousand, two hundred sixty-eight".