346314144 has 192 divisors, whose sum is σ = 1045094400. Its totient is φ = 99456000.

The previous prime is 346314139. The next prime is 346314161. The reversal of 346314144 is 441413643.

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

It is an unprimeable number.

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, 2324182 + ... + 2324330.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2^346314144 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 346314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522547200).

346314144 is an abundant number, since it is smaller than the sum of its proper divisors (698780256).

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

346314144 is a wasteful number, since it uses less digits than its factorization.

346314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 346314144 is about 18609.5175649451. The cubic root of 346314144 is about 702.2472972287.

Adding to 346314144 its reverse (441413643), we get a palindrome (787727787).

The spelling of 346314144 in words is "three hundred forty-six million, three hundred fourteen thousand, one hundred forty-four".