352873314200 has 192 divisors, whose sum is σ = 941633169120. Its totient is φ = 121803264000.

The previous prime is 352873314197. The next prime is 352873314217. The reversal of 352873314200 is 2413378253.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3284534 + ... + 3390266.

Almost surely, 2^352873314200 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 352873314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470816584560).

352873314200 is an abundant number, since it is smaller than the sum of its proper divisors (588759854920).

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

352873314200 is a wasteful number, since it uses less digits than its factorization.

352873314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105838 (or 105829 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 352873314200 in words is "three hundred fifty-two billion, eight hundred seventy-three million, three hundred fourteen thousand, two hundred".