349710080 has 72 divisors (see below), whose sum is σ = 855634752. Its totient is φ = 136884224.

The previous prime is 349710079. The next prime is 349710089. The reversal of 349710080 is 80017943.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349710089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57254 + ... + 63066.

It is an arithmetic number, because the mean of its divisors is an integer number (11883816).

Almost surely, 2^349710080 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 349710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427817376).

349710080 is an abundant number, since it is smaller than the sum of its proper divisors (505924672).

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

349710080 is an equidigital number, since it uses as much as digits as its factorization.

349710080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5881 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 349710080 is about 18700.5368906885. The cubic root of 349710080 is about 704.5352334682.

The spelling of 349710080 in words is "three hundred forty-nine million, seven hundred ten thousand, eighty".