344120220 has 72 divisors (see below), whose sum is σ = 1048634496. Its totient is φ = 91343232.

The previous prime is 344120197. The next prime is 344120233. The reversal of 344120220 is 22021443.

344120220 is a `hidden beast` number, since 3 + 441 + 2 + 0 + 220 = 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 = 344120193 and 344120202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35854 + ... + 44426.

It is an arithmetic number, because the mean of its divisors is an integer number (14564368).

Almost surely, 2^344120220 is an apocalyptic number.

344120220 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 344120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524317248).

344120220 is an abundant number, since it is smaller than the sum of its proper divisors (704514276).

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

344120220 is a wasteful number, since it uses less digits than its factorization.

344120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8811 (or 8806 counting only the distinct ones).

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

The square root of 344120220 is about 18550.4776218835. The cubic root of 344120220 is about 700.7612263138.

Adding to 344120220 its reverse (22021443), we get a palindrome (366141663).

The spelling of 344120220 in words is "three hundred forty-four million, one hundred twenty thousand, two hundred twenty".