345312514034440 has 128 divisors (see below), whose sum is σ = 805109328604800. Its totient is φ = 133208784783360.

The previous prime is 345312514034393. The next prime is 345312514034473. The reversal of 345312514034440 is 44430415213543.

It is a super-2 number, since 2×345312514034440² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1317086404 + ... + 1317348556.

It is an arithmetic number, because the mean of its divisors is an integer number (6289916629725).

Almost surely, 2^{345312514034440} 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 345312514034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402554664302400).

345312514034440 is an abundant number, since it is smaller than the sum of its proper divisors (459796814570360).

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

345312514034440 is a wasteful number, since it uses less digits than its factorization.

345312514034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272807 (or 272803 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 43.

Adding to 345312514034440 its reverse (44430415213543), we get a palindrome (389742929247983).

The spelling of 345312514034440 in words is "three hundred forty-five trillion, three hundred twelve billion, five hundred fourteen million, thirty-four thousand, four hundred forty".