349938912 has 96 divisors (see below), whose sum is σ = 964776960. Its totient is φ = 110914560.

The previous prime is 349938893. The next prime is 349938917. The reversal of 349938912 is 219839943.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349938917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174588 + ... + 176580.

It is an arithmetic number, because the mean of its divisors is an integer number (10049760).

Almost surely, 2^349938912 is an apocalyptic number.

349938912 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 349938912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482388480).

349938912 is an abundant number, since it is smaller than the sum of its proper divisors (614838048).

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

349938912 is a wasteful number, since it uses less digits than its factorization.

349938912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2088 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 349938912 is about 18706.6542171496. The cubic root of 349938912 is about 704.6888703080.

The spelling of 349938912 in words is "three hundred forty-nine million, nine hundred thirty-eight thousand, nine hundred twelve".