344200100244000 has 3072 divisors, whose sum is σ = 1561220540006400. Its totient is φ = 63975038976000.

The previous prime is 344200100243983. The next prime is 344200100244031. The reversal of 344200100244000 is 442001002443.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 119555434561 + ... + 119555437439.

It is an arithmetic number, because the mean of its divisors is an integer number (508209811200).

Almost surely, 2^{344200100244000} is an apocalyptic number.

344200100244000 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 344200100244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780610270003200).

344200100244000 is an abundant number, since it is smaller than the sum of its proper divisors (1217020439762400).

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

344200100244000 is a wasteful number, since it uses less digits than its factorization.

344200100244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3226 counting only the distinct ones).

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

Adding to 344200100244000 its reverse (442001002443), we get a palindrome (344642101246443).

The spelling of 344200100244000 in words is "three hundred forty-four trillion, two hundred billion, one hundred million, two hundred forty-four thousand".