346963968 has 180 divisors, whose sum is σ = 1085374108. Its totient is φ = 106168320.

The previous prime is 346963961. The next prime is 346964021. The reversal of 346963968 is 869369643.

It is a happy number.

346963968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 21233664 + 325730304 = 4608^2 + 18048^2 .

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 (346963961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1916838 + ... + 1917018.

Almost surely, 2^346963968 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 346963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542687054).

346963968 is an abundant number, since it is smaller than the sum of its proper divisors (738410140).

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

346963968 is a wasteful number, since it uses less digits than its factorization.

346963968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 199 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 346963968 is about 18626.9688355352. The cubic root of 346963968 is about 702.6862551604.

The spelling of 346963968 in words is "three hundred forty-six million, nine hundred sixty-three thousand, nine hundred sixty-eight".