352360960 has 180 divisors, whose sum is σ = 1001666358. Its totient is φ = 118530048.

The previous prime is 352360937. The next prime is 352361047. The reversal of 352360960 is 69063253.

It can be written as a sum of positive squares in 3 ways, for example, as 333281536 + 19079424 = 18256^2 + 4368^2 .

It is a super-2 number, since 2×352360960² = 248316492264243200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6648294 + ... + 6648346.

Almost surely, 2^352360960 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 352360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500833179).

352360960 is an abundant number, since it is smaller than the sum of its proper divisors (649305398).

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

352360960 is an frugal number, since it uses more digits than its factorization.

352360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 34.

The square root of 352360960 is about 18771.2801907595. The cubic root of 352360960 is about 706.3109320651.

Multiplying 352360960 by its product of nonzero digits (29160), we get a square (10274845593600 = 3205440²).

The spelling of 352360960 in words is "three hundred fifty-two million, three hundred sixty thousand, nine hundred sixty".