348696 has 48 divisors (see below), whose sum is σ = 982800. Its totient is φ = 111552.

The previous prime is 348671. The next prime is 348709. The reversal of 348696 is 696843.

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 d-powerful number, because it can be written as 3⁹ + 4⁹ + 6² + 8 + 9⁵ + 6⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 348696.

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 348696.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 2005 + ... + 2171.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2³⁴⁸⁶⁹⁶ is an apocalyptic number.

348696 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 348696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491400).

348696 is an abundant number, since it is smaller than the sum of its proper divisors (634104).

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

348696 is a wasteful number, since it uses less digits than its factorization.

348696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 201 counting only the distinct ones).

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

The square root of 348696 is about 590.5048687352. The cubic root of 348696 is about 70.3853576642.

The spelling of 348696 in words is "three hundred forty-eight thousand, six hundred ninety-six".