352163680 has 96 divisors (see below), whose sum is σ = 920390688. Its totient is φ = 126259200.

The previous prime is 352163677. The next prime is 352163681. The reversal of 352163680 is 86361253.

It is a super-2 number, since 2×352163680² = 248038515022284800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352163681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127110 + ... + 129850.

It is an arithmetic number, because the mean of its divisors is an integer number (9587403).

Almost surely, 2^352163680 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 352163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460195344).

352163680 is an abundant number, since it is smaller than the sum of its proper divisors (568227008).

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

352163680 is a wasteful number, since it uses less digits than its factorization.

352163680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 352163680 is about 18766.0246189756. The cubic root of 352163680 is about 706.1790909047.

The spelling of 352163680 in words is "three hundred fifty-two million, one hundred sixty-three thousand, six hundred eighty".