346164 has 48 divisors (see below), whose sum is σ = 997248. Its totient is φ = 91008.

The previous prime is 346147. The next prime is 346169. The reversal of 346164 is 461643.

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

It is a d-powerful number, because it can be written as 3⁹ + 4⁷ + 1 + 6⁴ + 6⁶ + 4⁹ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 346164.

It is not an unprimeable number, because it can be changed into a prime (346169) by changing a digit.

346164 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 15 ways as a sum of consecutive naturals, for example, 934 + ... + 1250.

It is an arithmetic number, because the mean of its divisors is an integer number (20776).

2³⁴⁶¹⁶⁴ 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 346164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498624).

346164 is an abundant number, since it is smaller than the sum of its proper divisors (651084).

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

346164 is a wasteful number, since it uses less digits than its factorization.

346164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 342 counting only the distinct ones).

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

The square root of 346164 is about 588.3570344612. The cubic root of 346164 is about 70.2145796456.

The spelling of 346164 in words is "three hundred forty-six thousand, one hundred sixty-four".