352224224 has 72 divisors (see below), whose sum is σ = 807199344. Its totient is φ = 150656000.

The previous prime is 352224179. The next prime is 352224253. The reversal of 352224224 is 422422253.

It is a happy number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 352224193 and 352224202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63149 + ... + 68499.

It is an arithmetic number, because the mean of its divisors is an integer number (11211102).

Almost surely, 2^352224224 is an apocalyptic number.

352224224 is a gapful number since it is divisible by the number (34) 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 352224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403599672).

352224224 is an abundant number, since it is smaller than the sum of its proper divisors (454975120).

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

352224224 is a wasteful number, since it uses less digits than its factorization.

352224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5400 (or 5381 counting only the distinct ones).

The product of its digits is 7680, while the sum is 26.

The square root of 352224224 is about 18767.6376776620. The cubic root of 352224224 is about 706.2195573690.

Adding to 352224224 its reverse (422422253), we get a palindrome (774646477).

The spelling of 352224224 in words is "three hundred fifty-two million, two hundred twenty-four thousand, two hundred twenty-four".