344245440000 has 800 divisors, whose sum is σ = 1429082747136. Its totient is φ = 71516160000.

The previous prime is 344245439921. The next prime is 344245440013. The reversal of 344245440000 is 44542443.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 344245440000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73917672 + ... + 73922328.

Almost surely, 2^344245440000 is an apocalyptic number.

344245440000 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 344245440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714541373568).

344245440000 is an abundant number, since it is smaller than the sum of its proper divisors (1084837307136).

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

344245440000 is an equidigital number, since it uses as much as digits as its factorization.

344245440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 344245440000 its reverse (44542443), we get a palindrome (344289982443).

The spelling of 344245440000 in words is "three hundred forty-four billion, two hundred forty-five million, four hundred forty thousand".