345311367424 has 81 divisors (see below), whose sum is σ = 727837312293. Its totient is φ = 163483923456.

The previous prime is 345311367403. The next prime is 345311367451. The reversal of 345311367424 is 424763113543.

The square root of 345311367424 is 587632.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 235108614400 + 110202753024 = 484880^2 + 331968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 178639162 + ... + 178641094.

Almost surely, 2^345311367424 is an apocalyptic number.

345311367424 is the 587632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345311367424

345311367424 is an abundant number, since it is smaller than the sum of its proper divisors (382525944869).

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

345311367424 is an frugal number, since it uses more digits than its factorization.

345311367424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920 (or 1954 counting only the distinct ones).

The product of its digits is 725760, while the sum is 43.

The spelling of 345311367424 in words is "three hundred forty-five billion, three hundred eleven million, three hundred sixty-seven thousand, four hundred twenty-four".