346346880 has 384 divisors, whose sum is σ = 1299594240. Its totient is φ = 77721600.

The previous prime is 346346879. The next prime is 346346893. The reversal of 346346880 is 88643643.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×346346880² = 239912322571468800, which contains 22 as substring.

It is a zygodrome in base 14.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11172465 + ... + 11172495.

It is an arithmetic number, because the mean of its divisors is an integer number (3384360).

Almost surely, 2^346346880 is an apocalyptic number.

346346880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649797120).

346346880 is an abundant number, since it is smaller than the sum of its proper divisors (953247360).

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

346346880 is a wasteful number, since it uses less digits than its factorization.

346346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 346346880 is about 18610.3970940977. The cubic root of 346346880 is about 702.2694236166.

It can be divided in two parts, 34634 and 6880, that added together give a palindrome (41514).

The spelling of 346346880 in words is "three hundred forty-six million, three hundred forty-six thousand, eight hundred eighty".