351583680272 has 80 divisors (see below), whose sum is σ = 756628959552. Its totient is φ = 156920924160.

The previous prime is 351583680257. The next prime is 351583680299. The reversal of 351583680272 is 272086385153.

It is a super-2 number, since 2×351583680272² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 351583680272.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3643268 + ... + 3738524.

Almost surely, 2^351583680272 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 351583680272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378314479776).

351583680272 is an abundant number, since it is smaller than the sum of its proper divisors (405045279280).

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

351583680272 is a wasteful number, since it uses less digits than its factorization.

351583680272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95656 (or 95650 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 50.

The spelling of 351583680272 in words is "three hundred fifty-one billion, five hundred eighty-three million, six hundred eighty thousand, two hundred seventy-two".