344122020 has 288 divisors, whose sum is σ = 1217414016. Its totient is φ = 80870400.

The previous prime is 344121997. The next prime is 344122039. The reversal of 344122020 is 20221443.

344122020 is a `hidden beast` number, since 3 + 441 + 220 + 2 + 0 = 666.

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 = 344121984 and 344122002.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2191782 + ... + 2191938.

It is an arithmetic number, because the mean of its divisors is an integer number (4227132).

Almost surely, 2^344122020 is an apocalyptic number.

344122020 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 344122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608707008).

344122020 is an abundant number, since it is smaller than the sum of its proper divisors (873291996).

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

344122020 is a wasteful number, since it uses less digits than its factorization.

344122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 219 counting only the distinct ones).

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

The square root of 344122020 is about 18550.5261380911. The cubic root of 344122020 is about 700.7624481427.

Adding to 344122020 its reverse (20221443), we get a palindrome (364343463).

The spelling of 344122020 in words is "three hundred forty-four million, one hundred twenty-two thousand, twenty".