347143680 has 480 divisors, whose sum is σ = 1385223840. Its totient is φ = 79626240.

The previous prime is 347143651. The next prime is 347143691. The reversal of 347143680 is 86341743.

347143680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5690850 + ... + 5690910.

It is an arithmetic number, because the mean of its divisors is an integer number (2885883).

Almost surely, 2^347143680 is an apocalyptic number.

347143680 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 347143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692611920).

347143680 is an abundant number, since it is smaller than the sum of its proper divisors (1038080160).

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

347143680 is a wasteful number, since it uses less digits than its factorization.

347143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 347143680 is about 18631.7921843284. The cubic root of 347143680 is about 702.8075543610.

The spelling of 347143680 in words is "three hundred forty-seven million, one hundred forty-three thousand, six hundred eighty".