351286668 has 72 divisors (see below), whose sum is σ = 964920320. Its totient is φ = 107347680.

The previous prime is 351286633. The next prime is 351286669. The reversal of 351286668 is 866682153.

It is a super-2 number, since 2×351286668² = 246804646229084448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (351286669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12921 + ... + 29487.

Almost surely, 2^351286668 is an apocalyptic number.

351286668 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351286668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482460160).

351286668 is an abundant number, since it is smaller than the sum of its proper divisors (613633652).

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

351286668 is a wasteful number, since it uses less digits than its factorization.

351286668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16627 (or 16622 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 351286668 is about 18742.6430366691. The cubic root of 351286668 is about 705.5923917840.

The spelling of 351286668 in words is "three hundred fifty-one million, two hundred eighty-six thousand, six hundred sixty-eight".