345130503370576 has 480 divisors, whose sum is σ = 875317404672000. Its totient is φ = 130262455895040.

The previous prime is 345130503370561. The next prime is 345130503370577. The reversal of 345130503370576 is 675073305031543.

It is a happy number.

It is a super-3 number, since 3×345130503370576³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345130503370577) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84198705775 + ... + 84198709873.

It is an arithmetic number, because the mean of its divisors is an integer number (1823577926400).

Almost surely, 2^{345130503370576} 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 345130503370576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437658702336000).

345130503370576 is an abundant number, since it is smaller than the sum of its proper divisors (530186901301424).

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

345130503370576 is a wasteful number, since it uses less digits than its factorization.

345130503370576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5255 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 52.

The spelling of 345130503370576 in words is "three hundred forty-five trillion, one hundred thirty billion, five hundred three million, three hundred seventy thousand, five hundred seventy-six".