352135008 has 144 divisors (see below), whose sum is σ = 1076283936. Its totient is φ = 108810240.

The previous prime is 352135001. The next prime is 352135013. The reversal of 352135008 is 800531253.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352135001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347110 + ... + 348122.

It is an arithmetic number, because the mean of its divisors is an integer number (7474194).

Almost surely, 2^352135008 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 352135008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538141968).

352135008 is an abundant number, since it is smaller than the sum of its proper divisors (724148928).

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

352135008 is a wasteful number, since it uses less digits than its factorization.

352135008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 352135008 is about 18765.2606696523. The cubic root of 352135008 is about 706.1599254639.

The spelling of 352135008 in words is "three hundred fifty-two million, one hundred thirty-five thousand, eight".