352243584 has 432 divisors, whose sum is σ = 1343847960. Its totient is φ = 86676480.

The previous prime is 352243583. The next prime is 352243609. The reversal of 352243584 is 485342253.

352243584 is a `hidden beast` number, since 3 + 52 + 24 + 3 + 584 = 666.

352243584 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (352243583) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 18539127 + ... + 18539145.

Almost surely, 2^352243584 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 352243584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671923980).

352243584 is an abundant number, since it is smaller than the sum of its proper divisors (991604376).

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

352243584 is a wasteful number, since it uses less digits than its factorization.

352243584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 42 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 352243584 is about 18768.1534520581. The cubic root of 352243584 is about 706.2324962483.

The spelling of 352243584 in words is "three hundred fifty-two million, two hundred forty-three thousand, five hundred eighty-four".