344683872 has 144 divisors (see below), whose sum is σ = 1080647568. Its totient is φ = 103541760.

The previous prime is 344683861. The next prime is 344683877. The reversal of 344683872 is 278386443.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344683877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159922 + ... + 162062.

It is an arithmetic number, because the mean of its divisors is an integer number (7504497).

Almost surely, 2^344683872 is an apocalyptic number.

344683872 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 344683872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540323784).

344683872 is an abundant number, since it is smaller than the sum of its proper divisors (735963696).

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

344683872 is a wasteful number, since it uses less digits than its factorization.

344683872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2202 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 344683872 is about 18565.6637909879. The cubic root of 344683872 is about 701.1436217522.

The spelling of 344683872 in words is "three hundred forty-four million, six hundred eighty-three thousand, eight hundred seventy-two".