349313328 has 480 divisors, whose sum is σ = 1343247360. Its totient is φ = 82114560.

The previous prime is 349313303. The next prime is 349313329. The reversal of 349313328 is 823313943.

It is a super-2 number, since 2×349313328² = 244039602236871168, which contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 349313292 and 349313301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349313329) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5726418 + ... + 5726478.

It is an arithmetic number, because the mean of its divisors is an integer number (2798432).

Almost surely, 2^349313328 is an apocalyptic number.

349313328 is a gapful number since it is divisible by the number (38) 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 349313328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671623680).

349313328 is an abundant number, since it is smaller than the sum of its proper divisors (993934032).

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

349313328 is a wasteful number, since it uses less digits than its factorization.

349313328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 128 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 349313328 is about 18689.9258425495. The cubic root of 349313328 is about 704.2686969336.

It can be divided in two parts, 3493133 and 28, that added together give a square (3493161 = 1869²).

The spelling of 349313328 in words is "three hundred forty-nine million, three hundred thirteen thousand, three hundred twenty-eight".