344013120 has 168 divisors, whose sum is σ = 1290949920. Its totient is φ = 83389440.

The previous prime is 344013113. The next prime is 344013121. The reversal of 344013120 is 21310443.

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 = 344013093 and 344013102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344013121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26251 + ... + 37109.

Almost surely, 2^344013120 is an apocalyptic number.

344013120 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 344013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645474960).

344013120 is an abundant number, since it is smaller than the sum of its proper divisors (946936800).

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

344013120 is a wasteful number, since it uses less digits than its factorization.

344013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10893 (or 10880 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 344013120 is about 18547.5906791152. The cubic root of 344013120 is about 700.6885198289.

Adding to 344013120 its reverse (21310443), we get a palindrome (365323563).

The spelling of 344013120 in words is "three hundred forty-four million, thirteen thousand, one hundred twenty".