344131013003220 has 72 divisors (see below), whose sum is σ = 1049272695021096. Its totient is φ = 91292786860032.

The previous prime is 344131013003213. The next prime is 344131013003221. The reversal of 344131013003220 is 22300310131443.

It is a happy number.

344131013003220 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 31 + 0 + 1 + 300 + 322 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62138725027344 + 281992287975876 = 7882812^2 + 16792626^2 .

It is a super-2 number, since 2×344131013003220² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344131013003221) 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, 4952915937 + ... + 4952985416.

It is an arithmetic number, because the mean of its divisors is an integer number (14573231875293).

Almost surely, 2^{344131013003220} is an apocalyptic number.

344131013003220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344131013003220 is an abundant number, since it is smaller than the sum of its proper divisors (705141682017876).

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

344131013003220 is a wasteful number, since it uses less digits than its factorization.

344131013003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9905901561 (or 9905901556 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 344131013003220 its reverse (22300310131443), we get a palindrome (366431323134663).

The spelling of 344131013003220 in words is "three hundred forty-four trillion, one hundred thirty-one billion, thirteen million, three thousand, two hundred twenty".