344411669820 has 96 divisors (see below), whose sum is σ = 968554298880. Its totient is φ = 91443400960.

The previous prime is 344411669807. The next prime is 344411669837. The reversal of 344411669820 is 28966114443.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 344411669820.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29223649 + ... + 29235431.

It is an arithmetic number, because the mean of its divisors is an integer number (10089107280).

Almost surely, 2^344411669820 is an apocalyptic number.

344411669820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344411669820 is an abundant number, since it is smaller than the sum of its proper divisors (624142629060).

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

344411669820 is a wasteful number, since it uses less digits than its factorization.

344411669820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13875 (or 13873 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 344411669820 in words is "three hundred forty-four billion, four hundred eleven million, six hundred sixty-nine thousand, eight hundred twenty".