344643840 has 108 divisors (see below), whose sum is σ = 1192471644. Its totient is φ = 91901952.

The previous prime is 344643829. The next prime is 344643847. The reversal of 344643840 is 48346443.

344643840 is a `hidden beast` number, since 3 + 4 + 4 + 643 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 230068224 + 114575616 = 15168^2 + 10704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 344643795 and 344643804.

It is not an unprimeable number, because it can be changed into a prime (344643847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3439 + ... + 26478.

Almost surely, 2^344643840 is an apocalyptic number.

344643840 is a gapful number since it is divisible by the number (30) 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 344643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596235822).

344643840 is an abundant number, since it is smaller than the sum of its proper divisors (847827804).

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

344643840 is a wasteful number, since it uses less digits than its factorization.

344643840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29944 (or 29927 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 344643840 is about 18564.5856404068. The cubic root of 344643840 is about 701.1164768131.

The spelling of 344643840 in words is "three hundred forty-four million, six hundred forty-three thousand, eight hundred forty".