345735824 has 40 divisors (see below), whose sum is σ = 783372480. Its totient is φ = 144724608.

The previous prime is 345735769. The next prime is 345735853. The reversal of 345735824 is 428537543.

345735824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31079 + ... + 40710.

It is an arithmetic number, because the mean of its divisors is an integer number (19584312).

Almost surely, 2^345735824 is an apocalyptic number.

It is an amenable number.

345735824 is an abundant number, since it is smaller than the sum of its proper divisors (437636656).

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

345735824 is a wasteful number, since it uses less digits than its factorization.

345735824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71847 (or 71841 counting only the distinct ones).

The product of its digits is 403200, while the sum is 41.

The square root of 345735824 is about 18593.9727869006. The cubic root of 345735824 is about 701.8561784138.

The spelling of 345735824 in words is "three hundred forty-five million, seven hundred thirty-five thousand, eight hundred twenty-four".