351952286720 has 66 divisors (see below), whose sum is σ = 844374886386. Its totient is φ = 140763934720.

The previous prime is 351952286711. The next prime is 351952286737. The reversal of 351952286720 is 27682259153.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 281561829376 + 70390457344 = 530624^2 + 265312^2 .

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 5 ways as a sum of consecutive naturals, for example, 42445775 + ... + 42454065.

Almost surely, 2^351952286720 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 351952286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422187443193).

351952286720 is an abundant number, since it is smaller than the sum of its proper divisors (492422599666).

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

351952286720 is an frugal number, since it uses more digits than its factorization.

351952286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16607 (or 8298 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 351952286720 in words is "three hundred fifty-one billion, nine hundred fifty-two million, two hundred eighty-six thousand, seven hundred twenty".