346216968 has 96 divisors (see below), whose sum is σ = 1009321560. Its totient is φ = 106813440.

The previous prime is 346216963. The next prime is 346216973. The reversal of 346216968 is 869612643.

346216968 is a `hidden beast` number, since 346 + 216 + 96 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (346216963) and next prime (346216973).

It can be written as a sum of positive squares in 4 ways, for example, as 210308004 + 135908964 = 14502^2 + 11658^2 .

It is a super-2 number, since 2×346216968² = 239732377862226048, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (346216963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72346 + ... + 76982.

Almost surely, 2^346216968 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 346216968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504660780).

346216968 is an abundant number, since it is smaller than the sum of its proper divisors (663104592).

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

346216968 is a wasteful number, since it uses less digits than its factorization.

346216968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4720 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 346216968 is about 18606.9064596993. The cubic root of 346216968 is about 702.1816073838.

The spelling of 346216968 in words is "three hundred forty-six million, two hundred sixteen thousand, nine hundred sixty-eight".