344044440000 has 420 divisors, whose sum is σ = 1240638930960. Its totient is φ = 91123200000.

The previous prime is 344044439987. The next prime is 344044440013. The reversal of 344044440000 is 44440443.

It is an interprime number because it is at equal distance from previous prime (344044439987) and next prime (344044440013).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 54356836 + ... + 54363164.

Almost surely, 2^344044440000 is an apocalyptic number.

344044440000 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 344044440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620319465480).

344044440000 is an abundant number, since it is smaller than the sum of its proper divisors (896594490960).

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

344044440000 is a wasteful number, since it uses less digits than its factorization.

344044440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6518 (or 6490 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 344044440000 its reverse (44440443), we get a palindrome (344088880443).

The spelling of 344044440000 in words is "three hundred forty-four billion, forty-four million, four hundred forty thousand".