347085920 has 192 divisors, whose sum is σ = 928972800. Its totient is φ = 121927680.

The previous prime is 347085899. The next prime is 347085943. The reversal of 347085920 is 29580743.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2732897 + ... + 2733023.

It is an arithmetic number, because the mean of its divisors is an integer number (4838400).

Almost surely, 2^347085920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 347085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464486400).

347085920 is an abundant number, since it is smaller than the sum of its proper divisors (581886880).

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

347085920 is a wasteful number, since it uses less digits than its factorization.

347085920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 347085920 is about 18630.2420810896. The cubic root of 347085920 is about 702.7685729840.

The spelling of 347085920 in words is "three hundred forty-seven million, eighty-five thousand, nine hundred twenty".