352208896 has 48 divisors (see below), whose sum is σ = 758475900. Its totient is φ = 162545664.

The previous prime is 352208891. The next prime is 352208911. The reversal of 352208896 is 698802253.

It can be written as a sum of positive squares in 2 ways, for example, as 340919296 + 11289600 = 18464^2 + 3360^2 .

It is a super-2 number, since 2×352208896² = 248102212843077632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (352208891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20010 + ... + 33238.

Almost surely, 2^352208896 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 352208896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379237950).

352208896 is an abundant number, since it is smaller than the sum of its proper divisors (406267004).

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

352208896 is a wasteful number, since it uses less digits than its factorization.

352208896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13264 (or 13244 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 352208896 is about 18767.2293106894. The cubic root of 352208896 is about 706.2093128622.

The spelling of 352208896 in words is "three hundred fifty-two million, two hundred eight thousand, eight hundred ninety-six".