349300672 has 42 divisors (see below), whose sum is σ = 793062168. Its totient is φ = 149530752.

The previous prime is 349300669. The next prime is 349300697. The reversal of 349300672 is 276003943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 395143 + ... + 396025.

Almost surely, 2^349300672 is an apocalyptic number.

349300672 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 349300672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396531084).

349300672 is an abundant number, since it is smaller than the sum of its proper divisors (443761496).

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

349300672 is an frugal number, since it uses more digits than its factorization.

349300672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 349300672 is about 18689.5872613603. The cubic root of 349300672 is about 704.2601913585.

The spelling of 349300672 in words is "three hundred forty-nine million, three hundred thousand, six hundred seventy-two".