351393946332 has 384 divisors, whose sum is σ = 1038417408000. Its totient is φ = 90900817920.

The previous prime is 351393946273. The next prime is 351393946349. The reversal of 351393946332 is 233649393153.

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 127 ways as a sum of consecutive naturals, for example, 240845019 + ... + 240846477.

It is an arithmetic number, because the mean of its divisors is an integer number (2704212000).

Almost surely, 2^351393946332 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 351393946332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519208704000).

351393946332 is an abundant number, since it is smaller than the sum of its proper divisors (687023461668).

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

351393946332 is a wasteful number, since it uses less digits than its factorization.

351393946332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1679 counting only the distinct ones).

The product of its digits is 4723920, while the sum is 51.

The spelling of 351393946332 in words is "three hundred fifty-one billion, three hundred ninety-three million, nine hundred forty-six thousand, three hundred thirty-two".