349144152 has 128 divisors (see below), whose sum is σ = 1062720000. Its totient is φ = 93367296.

The previous prime is 349144139. The next prime is 349144157. The reversal of 349144152 is 251441943.

It is a super-3 number, since 3×349144152³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349144157) by changing a digit.

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, 283474 + ... + 284702.

It is an arithmetic number, because the mean of its divisors is an integer number (8302500).

Almost surely, 2^349144152 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 349144152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531360000).

349144152 is an abundant number, since it is smaller than the sum of its proper divisors (713575848).

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

349144152 is a wasteful number, since it uses less digits than its factorization.

349144152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1349 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 349144152 is about 18685.3994337825. The cubic root of 349144152 is about 704.1549837415.

The spelling of 349144152 in words is "three hundred forty-nine million, one hundred forty-four thousand, one hundred fifty-two".