346896 has 80 divisors (see below), whose sum is σ = 1101120. Its totient is φ = 103680.

The previous prime is 346891. The next prime is 346903. The reversal of 346896 is 698643.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 346896.

It is not an unprimeable number, because it can be changed into a prime (346891) by changing a digit.

346896 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, 4716 + ... + 4788.

It is an arithmetic number, because the mean of its divisors is an integer number (13764).

2³⁴⁶⁸⁹⁶ is an apocalyptic number.

346896 is a gapful number since it is divisible by the number (36) 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 346896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550560).

346896 is an abundant number, since it is smaller than the sum of its proper divisors (754224).

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

346896 is a wasteful number, since it uses less digits than its factorization.

346896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 346896 is about 588.9787772068. The cubic root of 346896 is about 70.2640368265.

The spelling of 346896 in words is "three hundred forty-six thousand, eight hundred ninety-six".