352346020224 has 256 divisors, whose sum is σ = 1032625152000. Its totient is φ = 105562275840.

The previous prime is 352346020217. The next prime is 352346020253. The reversal of 352346020224 is 422020643253.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180782002 + ... + 180783950.

It is an arithmetic number, because the mean of its divisors is an integer number (4033692000).

Almost surely, 2^352346020224 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 352346020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516312576000).

352346020224 is an abundant number, since it is smaller than the sum of its proper divisors (680279131776).

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

352346020224 is a wasteful number, since it uses less digits than its factorization.

352346020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 352346020224 its reverse (422020643253), we get a palindrome (774366663477).

The spelling of 352346020224 in words is "three hundred fifty-two billion, three hundred forty-six million, twenty thousand, two hundred twenty-four".