346416 has 40 divisors (see below), whose sum is σ = 1023744. Its totient is φ = 98880.

The previous prime is 346399. The next prime is 346417. The reversal of 346416 is 614643.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (346417) by changing a digit.

346416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180 + ... + 851.

2³⁴⁶⁴¹⁶ is an apocalyptic number.

It is an amenable number.

346416 is an abundant number, since it is smaller than the sum of its proper divisors (677328).

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

346416 is a wasteful number, since it uses less digits than its factorization.

346416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1043 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 346416 is about 588.5711511789. The cubic root of 346416 is about 70.2316137510.

The spelling of 346416 in words is "three hundred forty-six thousand, four hundred sixteen".