346080 has 96 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 78336.

The previous prime is 346079. The next prime is 346091. The reversal of 346080 is 80643.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3309 + ... + 3411.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2³⁴⁶⁰⁸⁰ is an apocalyptic number.

346080 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 346080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992).

346080 is an abundant number, since it is smaller than the sum of its proper divisors (911904).

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

346080 is a wasteful number, since it uses less digits than its factorization.

346080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 346080 is about 588.2856449039. The cubic root of 346080 is about 70.2088997734.

The spelling of 346080 in words is "three hundred forty-six thousand, eighty".