352168768 has 56 divisors (see below), whose sum is σ = 800794944. Its totient is φ = 150528000.

The previous prime is 352168763. The next prime is 352168769. The reversal of 352168768 is 867861253.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352168763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219168 + ... + 220768.

Almost surely, 2^352168768 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 352168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400397472).

352168768 is an abundant number, since it is smaller than the sum of its proper divisors (448626176).

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

352168768 is a wasteful number, since it uses less digits than its factorization.

352168768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2101 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The square root of 352168768 is about 18766.1601826266. The cubic root of 352168768 is about 706.1824918061.

The spelling of 352168768 in words is "three hundred fifty-two million, one hundred sixty-eight thousand, seven hundred sixty-eight".