344400001000 has 192 divisors, whose sum is σ = 894621808080. Its totient is φ = 123992000000.

The previous prime is 344400000977. The next prime is 344400001019. The reversal of 344400001000 is 100004443.

It can be written as a sum of positive squares in 8 ways, for example, as 148411398564 + 195988602436 = 385242^2 + 442706^2 .

It is a super-2 number, since 2×344400001000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12206910 + ... + 12235090.

Almost surely, 2^344400001000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344400001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447310904040).

344400001000 is an abundant number, since it is smaller than the sum of its proper divisors (550221807080).

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

344400001000 is a wasteful number, since it uses less digits than its factorization.

344400001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28325 (or 28300 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 344400001000 its reverse (100004443), we get a palindrome (344500005443).

The spelling of 344400001000 in words is "three hundred forty-four billion, four hundred million, one thousand".