346686312 has 128 divisors (see below), whose sum is σ = 1049011200. Its totient is φ = 93270528.

The previous prime is 346686311. The next prime is 346686359. The reversal of 346686312 is 213686643.

It is a super-2 number, since 2×346686312² = 240382797856322688, 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 (346686311) 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 31 ways as a sum of consecutive naturals, for example, 998923 + ... + 999269.

It is an arithmetic number, because the mean of its divisors is an integer number (8195400).

Almost surely, 2^346686312 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 346686312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524505600).

346686312 is an abundant number, since it is smaller than the sum of its proper divisors (702324888).

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

346686312 is a wasteful number, since it uses less digits than its factorization.

346686312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 691 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 346686312 is about 18619.5142793790. The cubic root of 346686312 is about 702.4987648733.

The spelling of 346686312 in words is "three hundred forty-six million, six hundred eighty-six thousand, three hundred twelve".