349301106 has 144 divisors (see below), whose sum is σ = 993414240. Its totient is φ = 90644400.

The previous prime is 349301093. The next prime is 349301123. The reversal of 349301106 is 601103943.

349301106 is a `hidden beast` number, since 349 + 301 + 10 + 6 = 666.

It is a super-2 number, since 2×349301106² = 244022525305646472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 349301106.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 319621 + ... + 320711.

It is an arithmetic number, because the mean of its divisors is an integer number (6898710).

Almost surely, 2^349301106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349301106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496707120).

349301106 is an abundant number, since it is smaller than the sum of its proper divisors (644113134).

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

349301106 is a wasteful number, since it uses less digits than its factorization.

349301106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 349301106 is about 18689.5988721000. The cubic root of 349301106 is about 704.2604830354.

The spelling of 349301106 in words is "three hundred forty-nine million, three hundred one thousand, one hundred six".