348688 has 40 divisors (see below), whose sum is σ = 753920. Its totient is φ = 155520.

The previous prime is 348671. The next prime is 348709. The reversal of 348688 is 886843.

348688 = T₁₇ + T₁₈ + ... + T₁₂₇.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9406 + ... + 9442.

It is an arithmetic number, because the mean of its divisors is an integer number (18848).

2³⁴⁸⁶⁸⁸ is an apocalyptic number.

348688 is a gapful number since it is divisible by the number (38) 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 348688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376960).

348688 is an abundant number, since it is smaller than the sum of its proper divisors (405232).

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

348688 is a wasteful number, since it uses less digits than its factorization.

348688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 89 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 348688 is about 590.4980948318. The cubic root of 348688 is about 70.3848193852.

The spelling of 348688 in words is "three hundred forty-eight thousand, six hundred eighty-eight".