351273216 has 216 divisors, whose sum is σ = 1133880384. Its totient is φ = 94556160.

The previous prime is 351273211. The next prime is 351273229. The reversal of 351273216 is 612372153.

It is not an unprimeable number, because it can be changed into a prime (351273211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1940646 + ... + 1940826.

Almost surely, 2^351273216 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 351273216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566940192).

351273216 is an abundant number, since it is smaller than the sum of its proper divisors (782607168).

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

351273216 is a wasteful number, since it uses less digits than its factorization.

351273216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 212 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 351273216 is about 18742.2841724268. The cubic root of 351273216 is about 705.5833851323.

The spelling of 351273216 in words is "three hundred fifty-one million, two hundred seventy-three thousand, two hundred sixteen".