349213312 has 128 divisors (see below), whose sum is σ = 851414400. Its totient is φ = 139345920.

The previous prime is 349213309. The next prime is 349213339. The reversal of 349213312 is 213312943.

349213312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1242612 + ... + 1242892.

It is an arithmetic number, because the mean of its divisors is an integer number (6651675).

Almost surely, 2^349213312 is an apocalyptic number.

349213312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

349213312 is the 9344-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425707200).

349213312 is an abundant number, since it is smaller than the sum of its proper divisors (502201088).

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

349213312 is a wasteful number, since it uses less digits than its factorization.

349213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its digits is 3888, while the sum is 28.

The square root of 349213312 is about 18687.2499849496. The cubic root of 349213312 is about 704.2014747045.

The spelling of 349213312 in words is "three hundred forty-nine million, two hundred thirteen thousand, three hundred twelve".