349419312 has 240 divisors, whose sum is σ = 1152009600. Its totient is φ = 100552320.

The previous prime is 349419283. The next prime is 349419331. The reversal of 349419312 is 213914943.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2513739 + ... + 2513877.

It is an arithmetic number, because the mean of its divisors is an integer number (4800040).

Almost surely, 2^349419312 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 349419312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576004800).

349419312 is an abundant number, since it is smaller than the sum of its proper divisors (802590288).

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

349419312 is a wasteful number, since it uses less digits than its factorization.

349419312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 178 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 349419312 is about 18692.7609517695. The cubic root of 349419312 is about 704.3399163423.

It can be divided in two parts, 34941 and 9312, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 349419312 in words is "three hundred forty-nine million, four hundred nineteen thousand, three hundred twelve".