344010420 has 144 divisors (see below), whose sum is σ = 1134583632. Its totient is φ = 83865600.

The previous prime is 344010397. The next prime is 344010427. The reversal of 344010420 is 24010443.

It can be written as a sum of positive squares in 8 ways, for example, as 232623504 + 111386916 = 15252^2 + 10554^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 344010393 and 344010402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344010427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263770 + ... + 265070.

It is an arithmetic number, because the mean of its divisors is an integer number (7879053).

Almost surely, 2^344010420 is an apocalyptic number.

344010420 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 344010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567291816).

344010420 is an abundant number, since it is smaller than the sum of its proper divisors (790573212).

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

344010420 is a wasteful number, since it uses less digits than its factorization.

344010420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 344010420 is about 18547.5178932384. The cubic root of 344010420 is about 700.6866866973.

Adding to 344010420 its reverse (24010443), we get a palindrome (368020863).

The spelling of 344010420 in words is "three hundred forty-four million, ten thousand, four hundred twenty".