344010240000 has 1560 divisors, whose sum is σ = 1490284956160. Its totient is φ = 77635584000.

The previous prime is 344010239999. The next prime is 344010240031. The reversal of 344010240000 is 42010443.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4354559961 + ... + 4354560039.

Almost surely, 2^344010240000 is an apocalyptic number.

344010240000 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 344010240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745142478080).

344010240000 is an abundant number, since it is smaller than the sum of its proper divisors (1146274716160).

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

344010240000 is an frugal number, since it uses more digits than its factorization.

344010240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 344010240000 its reverse (42010443), we get a palindrome (344052250443).

The spelling of 344010240000 in words is "three hundred forty-four billion, ten million, two hundred forty thousand".