344402044100220 has 96 divisors (see below), whose sum is σ = 1024539911438400. Its totient is φ = 86277045141504.

The previous prime is 344402044100123. The next prime is 344402044100227. The reversal of 344402044100220 is 22001440204443.

It is a super-2 number, since 2×344402044100220² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344402044100227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2674695205 + ... + 2674823964.

It is an arithmetic number, because the mean of its divisors is an integer number (10672290744150).

Almost surely, 2^{344402044100220} is an apocalyptic number.

344402044100220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344402044100220 is an abundant number, since it is smaller than the sum of its proper divisors (680137867338180).

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

344402044100220 is a wasteful number, since it uses less digits than its factorization.

344402044100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5349519247 (or 5349519245 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 344402044100220 its reverse (22001440204443), we get a palindrome (366403484304663).

The spelling of 344402044100220 in words is "three hundred forty-four trillion, four hundred two billion, forty-four million, one hundred thousand, two hundred twenty".