349746672 has 80 divisors (see below), whose sum is σ = 1001900160. Its totient is φ = 104236800.

The previous prime is 349746589. The next prime is 349746703. The reversal of 349746672 is 276647943.

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

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, 26779 + ... + 37637.

It is an arithmetic number, because the mean of its divisors is an integer number (12523752).

Almost surely, 2^349746672 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 349746672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500950080).

349746672 is an abundant number, since it is smaller than the sum of its proper divisors (652153488).

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

349746672 is a wasteful number, since it uses less digits than its factorization.

349746672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10942 (or 10936 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 48.

The square root of 349746672 is about 18701.5152327291. The cubic root of 349746672 is about 704.5598056835.

The spelling of 349746672 in words is "three hundred forty-nine million, seven hundred forty-six thousand, six hundred seventy-two".