344321001024 has 448 divisors, whose sum is σ = 1228117911552. Its totient is φ = 82221465600.

The previous prime is 344321000987. The next prime is 344321001049. The reversal of 344321001024 is 420100123443.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 344321000985 and 344321001003.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49389859 + ... + 49396829.

It is an arithmetic number, because the mean of its divisors is an integer number (2741334624).

Almost surely, 2^344321001024 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 344321001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614058955776).

344321001024 is an abundant number, since it is smaller than the sum of its proper divisors (883796910528).

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

344321001024 is a wasteful number, since it uses less digits than its factorization.

344321001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7274 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 344321001024 its reverse (420100123443), we get a palindrome (764421124467).

The spelling of 344321001024 in words is "three hundred forty-four billion, three hundred twenty-one million, one thousand, twenty-four".