349809152 has 160 divisors (see below), whose sum is σ = 919226880. Its totient is φ = 128839680.

The previous prime is 349809127. The next prime is 349809193. The reversal of 349809152 is 251908943.

349809152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 748823 + ... + 749289.

It is an arithmetic number, because the mean of its divisors is an integer number (5745168).

Almost surely, 2^349809152 is an apocalyptic number.

349809152 is a gapful number since it is divisible by the number (32) 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 349809152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459613440).

349809152 is an abundant number, since it is smaller than the sum of its proper divisors (569417728).

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

349809152 is a wasteful number, since it uses less digits than its factorization.

349809152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 349809152 is about 18703.1856110129. The cubic root of 349809152 is about 704.6017582157.

The spelling of 349809152 in words is "three hundred forty-nine million, eight hundred nine thousand, one hundred fifty-two".