349840080 has 160 divisors (see below), whose sum is σ = 1214208000. Its totient is φ = 92579328.

The previous prime is 349840067. The next prime is 349840109. The reversal of 349840080 is 80048943.

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 31 ways as a sum of consecutive naturals, for example, 321297 + ... + 322383.

It is an arithmetic number, because the mean of its divisors is an integer number (7588800).

Almost surely, 2^349840080 is an apocalyptic number.

349840080 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 349840080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607104000).

349840080 is an abundant number, since it is smaller than the sum of its proper divisors (864367920).

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

349840080 is a wasteful number, since it uses less digits than its factorization.

349840080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 349840080 is about 18704.0124037598. The cubic root of 349840080 is about 704.6225231394.

The spelling of 349840080 in words is "three hundred forty-nine million, eight hundred forty thousand, eighty".