344004231120 has 320 divisors, whose sum is σ = 1201500241920. Its totient is φ = 80700928000.

The previous prime is 344004231083. The next prime is 344004231211. The reversal of 344004231120 is 21132400443.

It is a super-2 number, since 2×344004231120² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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, 11027545 + ... + 11058695.

It is an arithmetic number, because the mean of its divisors is an integer number (3754688256).

Almost surely, 2^344004231120 is an apocalyptic number.

344004231120 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 344004231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600750120960).

344004231120 is an abundant number, since it is smaller than the sum of its proper divisors (857496010800).

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

344004231120 is a wasteful number, since it uses less digits than its factorization.

344004231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31314 (or 31308 counting only the distinct ones).

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

Adding to 344004231120 its reverse (21132400443), we get a palindrome (365136631563).

The spelling of 344004231120 in words is "three hundred forty-four billion, four million, two hundred thirty-one thousand, one hundred twenty".