343030441440 has 192 divisors, whose sum is σ = 1158879052800. Its totient is φ = 85025101824.

The previous prime is 343030441433. The next prime is 343030441451. The reversal of 343030441440 is 44144030343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 343030441398 and 343030441407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128521 + ... + 838199.

It is an arithmetic number, because the mean of its divisors is an integer number (6035828400).

Almost surely, 2^343030441440 is an apocalyptic number.

343030441440 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 343030441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579439526400).

343030441440 is an abundant number, since it is smaller than the sum of its proper divisors (815848611360).

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

343030441440 is a wasteful number, since it uses less digits than its factorization.

343030441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709769 (or 709761 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 343030441440 its reverse (44144030343), we get a palindrome (387174471783).

The spelling of 343030441440 in words is "three hundred forty-three billion, thirty million, four hundred forty-one thousand, four hundred forty".