352345056 has 96 divisors (see below), whose sum is σ = 1070576640. Its totient is φ = 99380736.

The previous prime is 352345051. The next prime is 352345069. The reversal of 352345056 is 650543253.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352345051) 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 15 ways as a sum of consecutive naturals, for example, 49770 + ... + 56406.

It is an arithmetic number, because the mean of its divisors is an integer number (11151840).

Almost surely, 2^352345056 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 352345056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535288320).

352345056 is an abundant number, since it is smaller than the sum of its proper divisors (718231584).

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

352345056 is a wasteful number, since it uses less digits than its factorization.

352345056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6736 (or 6728 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

The square root of 352345056 is about 18770.8565601040. The cubic root of 352345056 is about 706.3003053315.

The spelling of 352345056 in words is "three hundred fifty-two million, three hundred forty-five thousand, fifty-six".