349852080 has 160 divisors (see below), whose sum is σ = 1151354880. Its totient is φ = 87690240.

The previous prime is 349852079. The next prime is 349852109. The reversal of 349852080 is 80258943.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336201 + ... + 337239.

It is an arithmetic number, because the mean of its divisors is an integer number (7195968).

Almost surely, 2^349852080 is an apocalyptic number.

349852080 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 349852080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575677440).

349852080 is an abundant number, since it is smaller than the sum of its proper divisors (801502800).

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

349852080 is a wasteful number, since it uses less digits than its factorization.

349852080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 349852080 is about 18704.3331877937. Note that the first 3 decimals coincide. The cubic root of 349852080 is about 704.6305795572.

The spelling of 349852080 in words is "three hundred forty-nine million, eight hundred fifty-two thousand, eighty".