352329408 has 84 divisors (see below), whose sum is σ = 1012789440. Its totient is φ = 117106176.

The previous prime is 352329379. The next prime is 352329451. The reversal of 352329408 is 804923253.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 275266 + ... + 276542.

Almost surely, 2^352329408 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 352329408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506394720).

352329408 is an abundant number, since it is smaller than the sum of its proper divisors (660460032).

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

352329408 is a wasteful number, since it uses less digits than its factorization.

352329408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 352329408 is about 18770.4397391217. The cubic root of 352329408 is about 706.2898493400.

The spelling of 352329408 in words is "three hundred fifty-two million, three hundred twenty-nine thousand, four hundred eight".