344862544 has 60 divisors (see below), whose sum is σ = 764519644. Its totient is φ = 149778432.

The previous prime is 344862541. The next prime is 344862677. The reversal of 344862544 is 445268443.

344862544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 20430400 + 324432144 = 4520^2 + 18012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 344862497 and 344862506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344862541) 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 11 ways as a sum of consecutive naturals, for example, 57244 + ... + 62980.

Almost surely, 2^344862544 is an apocalyptic number.

344862544 is a gapful number since it is divisible by the number (34) 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 344862544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382259822).

344862544 is an abundant number, since it is smaller than the sum of its proper divisors (419657100).

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

344862544 is a wasteful number, since it uses less digits than its factorization.

344862544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5792 (or 5769 counting only the distinct ones).

The product of its digits is 368640, while the sum is 40.

The square root of 344862544 is about 18570.4750612363. The cubic root of 344862544 is about 701.2647502254.

The spelling of 344862544 in words is "three hundred forty-four million, eight hundred sixty-two thousand, five hundred forty-four".