352605344 has 96 divisors (see below), whose sum is σ = 899498880. Its totient is φ = 132129792.

The previous prime is 352605329. The next prime is 352605353. The reversal of 352605344 is 443506253.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 352605344.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52142 + ... + 58514.

It is an arithmetic number, because the mean of its divisors is an integer number (9369780).

Almost surely, 2^352605344 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 352605344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449749440).

352605344 is an abundant number, since it is smaller than the sum of its proper divisors (546893536).

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

352605344 is a wasteful number, since it uses less digits than its factorization.

352605344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422 (or 6414 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The square root of 352605344 is about 18777.7885811935. The cubic root of 352605344 is about 706.4741843549.

Subtracting 352605344 from its reverse (443506253), we obtain a palindrome (90900909).

It can be divided in two parts, 35260 and 5344, that added together give a palindrome (40604).

The spelling of 352605344 in words is "three hundred fifty-two million, six hundred five thousand, three hundred forty-four".