344120432320000 has 400 divisors, whose sum is σ = 983352206466432. Its totient is φ = 117812874240000.

The previous prime is 344120432319991. The next prime is 344120432320061. The reversal of 344120432320000 is 23234021443.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1547728839 + ... + 1547951161.

Almost surely, 2^{344120432320000} 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 344120432320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491676103233216).

344120432320000 is an abundant number, since it is smaller than the sum of its proper divisors (639231774146432).

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

344120432320000 is an frugal number, since it uses more digits than its factorization.

344120432320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223059 (or 223028 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 344120432320000 its reverse (23234021443), we get a palindrome (344143666341443).

The spelling of 344120432320000 in words is "three hundred forty-four trillion, one hundred twenty billion, four hundred thirty-two million, three hundred twenty thousand".