346846656 has 112 divisors (see below), whose sum is σ = 1001369600. Its totient is φ = 105311232.

The previous prime is 346846649. The next prime is 346846657. The reversal of 346846656 is 656648643.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346846657) 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 15 ways as a sum of consecutive naturals, for example, 196305 + ... + 198063.

It is an arithmetic number, because the mean of its divisors is an integer number (8940800).

Almost surely, 2^346846656 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 346846656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500684800).

346846656 is an abundant number, since it is smaller than the sum of its proper divisors (654522944).

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

346846656 is a wasteful number, since it uses less digits than its factorization.

346846656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1856 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The square root of 346846656 is about 18623.8195867550. The cubic root of 346846656 is about 702.6070511413.

The spelling of 346846656 in words is "three hundred forty-six million, eight hundred forty-six thousand, six hundred fifty-six".