347872 has 24 divisors (see below), whose sum is σ = 783216. Its totient is φ = 148992.

The previous prime is 347849. The next prime is 347873. The reversal of 347872 is 278743.

347872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (347873) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 553 + ... + 1000.

It is an arithmetic number, because the mean of its divisors is an integer number (32634).

2³⁴⁷⁸⁷² is an apocalyptic number.

347872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

347872 is an abundant number, since it is smaller than the sum of its proper divisors (435344).

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

347872 is a wasteful number, since it uses less digits than its factorization.

347872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1562 counting only the distinct ones).

The product of its digits is 9408, while the sum is 31.

The square root of 347872 is about 589.8067480116. The cubic root of 347872 is about 70.3298716255.

The spelling of 347872 in words is "three hundred forty-seven thousand, eight hundred seventy-two".