346546336 has 48 divisors (see below), whose sum is σ = 714801024. Its totient is φ = 165071104.

The previous prime is 346546283. The next prime is 346546337. The reversal of 346546336 is 633645643.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (346546337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214845 + ... + 216451.

It is an arithmetic number, because the mean of its divisors is an integer number (14891688).

Almost surely, 2^346546336 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 346546336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357400512).

346546336 is an abundant number, since it is smaller than the sum of its proper divisors (368254688).

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

346546336 is a wasteful number, since it uses less digits than its factorization.

346546336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1925 counting only the distinct ones).

The product of its digits is 466560, while the sum is 40.

The square root of 346546336 is about 18615.7550478083. The cubic root of 346546336 is about 702.4042065740.

It can be divided in two parts, 3465 and 46336, that multiplied together give a triangular number (160554240 = T₁₇₉₁₉).

The spelling of 346546336 in words is "three hundred forty-six million, five hundred forty-six thousand, three hundred thirty-six".