346390880 has 96 divisors (see below), whose sum is σ = 902391840. Its totient is φ = 124600320.

The previous prime is 346390873. The next prime is 346390883. The reversal of 346390880 is 88093643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346390883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169706 + ... + 171734.

It is an arithmetic number, because the mean of its divisors is an integer number (9399915).

Almost surely, 2^346390880 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 346390880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451195920).

346390880 is an abundant number, since it is smaller than the sum of its proper divisors (556000960).

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

346390880 is a wasteful number, since it uses less digits than its factorization.

346390880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 346390880 is about 18611.5791914604. The cubic root of 346390880 is about 702.2991611889.

The spelling of 346390880 in words is "three hundred forty-six million, three hundred ninety thousand, eight hundred eighty".