347880 has 64 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 85248.

The previous prime is 347873. The next prime is 347887. The reversal of 347880 is 88743.

347880 = T₃₉ + T₄₀ + ... + T₁₂₈.

347880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (347873) and next prime (347887).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 347880.

It is not an unprimeable number, because it can be changed into a prime (347887) by changing a digit.

347880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1449 + ... + 1671.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2³⁴⁷⁸⁸⁰ is an apocalyptic number.

347880 is a gapful number since it is divisible by the number (30) 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 347880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564480).

347880 is an abundant number, since it is smaller than the sum of its proper divisors (781080).

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

347880 is a wasteful number, since it uses less digits than its factorization.

347880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 347880 is about 589.8135298550. The cubic root of 347880 is about 70.3304107458.

The spelling of 347880 in words is "three hundred forty-seven thousand, eight hundred eighty".