348672 has 40 divisors (see below), whose sum is σ = 932976. Its totient is φ = 115712.

The previous prime is 348671. The next prime is 348709. The reversal of 348672 is 276843.

It is a d-powerful number, because it can be written as 3⁶ + 4⁷ + 6⁷ + 8⁵ + 7⁵ + 2¹¹ .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (348671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1423 + ... + 1649.

348672 is a Friedman number, since it can be written as 72^3-8^4*6, using all its digits and the basic arithmetic operations.

2³⁴⁸⁶⁷² is an apocalyptic number.

348672 is a gapful number since it is divisible by the number (32) 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 348672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466488).

348672 is an abundant number, since it is smaller than the sum of its proper divisors (584304).

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

348672 is an equidigital number, since it uses as much as digits as its factorization.

348672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 348672 is about 590.4845467919. The cubic root of 348672 is about 70.3837428026.

The spelling of 348672 in words is "three hundred forty-eight thousand, six hundred seventy-two".