361633248 has 240 divisors, whose sum is σ = 1169063280. Its totient is φ = 109154304.

The previous prime is 361633247. The next prime is 361633291. The reversal of 361633248 is 842336163.

361633248 is a `hidden beast` number, since 3 + 616 + 3 + 32 + 4 + 8 = 666.

361633248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361633247) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1277715 + ... + 1277997.

It is an arithmetic number, because the mean of its divisors is an integer number (4871097).

Almost surely, 2^361633248 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 361633248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584531640).

361633248 is an abundant number, since it is smaller than the sum of its proper divisors (807430032).

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

361633248 is a wasteful number, since it uses less digits than its factorization.

361633248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 334 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 361633248 is about 19016.6571194834. The cubic root of 361633248 is about 712.4528323346.

It can be divided in two parts, 3616 and 33248, that added together give a square (36864 = 192²).

The spelling of 361633248 in words is "three hundred sixty-one million, six hundred thirty-three thousand, two hundred forty-eight".