347350080 has 448 divisors, whose sum is σ = 1423245312. Its totient is φ = 69672960.

The previous prime is 347350063. The next prime is 347350127. The reversal of 347350080 is 80053743.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2734977 + ... + 2735103.

Almost surely, 2^347350080 is an apocalyptic number.

347350080 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 347350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711622656).

347350080 is an abundant number, since it is smaller than the sum of its proper divisors (1075895232).

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

347350080 is a wasteful number, since it uses less digits than its factorization.

347350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 347350080 is about 18637.3302809174. The cubic root of 347350080 is about 702.9468153721.

The spelling of 347350080 in words is "three hundred forty-seven million, three hundred fifty thousand, eighty".