345420433344 has 448 divisors, whose sum is σ = 1110318612480. Its totient is φ = 92703191040.

The previous prime is 345420433327. The next prime is 345420433367. The reversal of 345420433344 is 443334024543.

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

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, 204027762 + ... + 204029454.

It is an arithmetic number, because the mean of its divisors is an integer number (2478389760).

Almost surely, 2^345420433344 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 345420433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555159306240).

345420433344 is an abundant number, since it is smaller than the sum of its proper divisors (764898179136).

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

345420433344 is a wasteful number, since it uses less digits than its factorization.

345420433344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 39.

Adding to 345420433344 its reverse (443334024543), we get a palindrome (788754457887).

The spelling of 345420433344 in words is "three hundred forty-five billion, four hundred twenty million, four hundred thirty-three thousand, three hundred forty-four".