346764 has 48 divisors (see below), whose sum is σ = 919296. Its totient is φ = 100800.

The previous prime is 346763. The next prime is 346793. The reversal of 346764 is 467643.

346764 is nontrivially palindromic in base 5.

346764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 3 + 4⁵ + 7² + 6³ + 6⁷ + 4⁸ .

Its product of digits (12096) is a multiple of the sum of its prime factors (126).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 346764.

It is not an unprimeable number, because it can be changed into a prime (346763) 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, 4849 + ... + 4919.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2³⁴⁶⁷⁶⁴ 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 346764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459648).

346764 is an abundant number, since it is smaller than the sum of its proper divisors (572532).

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

346764 is a wasteful number, since it uses less digits than its factorization.

346764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 124 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 346764 is about 588.8667081777. The cubic root of 346764 is about 70.2551234638.

The spelling of 346764 in words is "three hundred forty-six thousand, seven hundred sixty-four".