344865040 has 80 divisors (see below), whose sum is σ = 867944448. Its totient is φ = 126678528.

The previous prime is 344865019. The next prime is 344865041. The reversal of 344865040 is 40568443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 344864987 and 344865005.

It is not an unprimeable number, because it can be changed into a prime (344865041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231177 + ... + 232663.

Almost surely, 2^344865040 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 344865040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433972224).

344865040 is an abundant number, since it is smaller than the sum of its proper divisors (523079408).

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

344865040 is a wasteful number, since it uses less digits than its factorization.

344865040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 344865040 is about 18570.5422645651. The cubic root of 344865040 is about 701.2664420614.

The spelling of 344865040 in words is "three hundred forty-four million, eight hundred sixty-five thousand, forty".