344000440104000 has 448 divisors, whose sum is σ = 1166972356822272. Its totient is φ = 89224851456000.

The previous prime is 344000440103977. The next prime is 344000440104007. The reversal of 344000440104000 is 401044000443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (344000440104007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2771385939 + ... + 2771510061.

It is an arithmetic number, because the mean of its divisors is an integer number (2604849010764).

Almost surely, 2^{344000440104000} is an apocalyptic number.

344000440104000 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 344000440104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583486178411136).

344000440104000 is an abundant number, since it is smaller than the sum of its proper divisors (822971916718272).

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

344000440104000 is a wasteful number, since it uses less digits than its factorization.

344000440104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127311 (or 127291 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 344000440104000 its reverse (401044000443), we get a palindrome (344401484104443).

The spelling of 344000440104000 in words is "three hundred forty-four trillion, four hundred forty million, one hundred four thousand".