352346883200 has 576 divisors, whose sum is σ = 1012399041600. Its totient is φ = 120737710080.

The previous prime is 352346883151. The next prime is 352346883263. The reversal of 352346883200 is 2388643253.

It is a super-2 number, since 2×352346883200² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 544585277 + ... + 544585923.

It is an arithmetic number, because the mean of its divisors is an integer number (1757637225).

Almost surely, 2^352346883200 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 352346883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506199520800).

352346883200 is an abundant number, since it is smaller than the sum of its proper divisors (660052158400).

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

352346883200 is a wasteful number, since it uses less digits than its factorization.

352346883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 352346883200 in words is "three hundred fifty-two billion, three hundred forty-six million, eight hundred eighty-three thousand, two hundred".