344053024000000 has 672 divisors, whose sum is σ = 984522654198720. Its totient is φ = 117749145600000.

The previous prime is 344053023999989. The next prime is 344053024000009. The reversal of 344053024000000 is 420350443.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (344053024000009) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 173151999007 + ... + 173152000993.

It is an arithmetic number, because the mean of its divisors is an integer number (1465063473510).

Almost surely, 2^{344053024000000} 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 344053024000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492261327099360).

344053024000000 is an abundant number, since it is smaller than the sum of its proper divisors (640469630198720).

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

344053024000000 is an frugal number, since it uses more digits than its factorization.

344053024000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 344053024000000 its reverse (420350443), we get a palindrome (344053444350443).

The spelling of 344053024000000 in words is "three hundred forty-four trillion, fifty-three billion, twenty-four million", and thus it is an aban number.