345500003200440 has 256 divisors, whose sum is σ = 1190918369779200. Its totient is φ = 79304008089600.

The previous prime is 345500003200423. The next prime is 345500003200463. The reversal of 345500003200440 is 44002300005543.

It is a super-3 number, since 3×345500003200440³ (a number of 45 digits) contains 333 as substring.

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 = 345500003200398 and 345500003200407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40036000 + ... + 47894480.

It is an arithmetic number, because the mean of its divisors is an integer number (4652024881950).

Almost surely, 2^{345500003200440} is an apocalyptic number.

345500003200440 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 345500003200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595459184889600).

345500003200440 is an abundant number, since it is smaller than the sum of its proper divisors (845418366578760).

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

345500003200440 is a wasteful number, since it uses less digits than its factorization.

345500003200440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7860278 (or 7860274 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 345500003200440 its reverse (44002300005543), we get a palindrome (389502303205983).

The spelling of 345500003200440 in words is "three hundred forty-five trillion, five hundred billion, three million, two hundred thousand, four hundred forty".