345310576 has 40 divisors (see below), whose sum is σ = 724891104. Its totient is φ = 158403840.

The previous prime is 345310549. The next prime is 345310577. The reversal of 345310576 is 675013543.

345310576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345310577) by changing a digit.

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, 29766 + ... + 39706.

Almost surely, 2^345310576 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 345310576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362445552).

345310576 is an abundant number, since it is smaller than the sum of its proper divisors (379580528).

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

345310576 is a wasteful number, since it uses less digits than its factorization.

345310576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10129 (or 10123 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The square root of 345310576 is about 18582.5341651778. The cubic root of 345310576 is about 701.5683041016.

The spelling of 345310576 in words is "three hundred forty-five million, three hundred ten thousand, five hundred seventy-six".