352881312 has 96 divisors (see below), whose sum is σ = 1066649472. Its totient is φ = 100061184.

The previous prime is 352881307. The next prime is 352881329. The reversal of 352881312 is 213188253.

It is a tau number, because it is divible by the number of its divisors (96).

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, 90148 + ... + 93980.

It is an arithmetic number, because the mean of its divisors is an integer number (11110932).

Almost surely, 2^352881312 is an apocalyptic number.

352881312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352881312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533324736).

352881312 is an abundant number, since it is smaller than the sum of its proper divisors (713768160).

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

352881312 is a wasteful number, since it uses less digits than its factorization.

352881312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990 (or 3982 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 352881312 is about 18785.1354000976. The cubic root of 352881312 is about 706.6584445861.

The spelling of 352881312 in words is "three hundred fifty-two million, eight hundred eighty-one thousand, three hundred twelve".