345332560 has 80 divisors (see below), whose sum is σ = 877658112. Its totient is φ = 125798400.

The previous prime is 345332521. The next prime is 345332563. The reversal of 345332560 is 65233543.

It is a happy number.

345332560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345332563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38065 + ... + 46255.

Almost surely, 2^345332560 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 345332560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438829056).

345332560 is an abundant number, since it is smaller than the sum of its proper divisors (532325552).

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

345332560 is a wasteful number, since it uses less digits than its factorization.

345332560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8252 (or 8246 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 31.

The square root of 345332560 is about 18583.1256789594. The cubic root of 345332560 is about 701.5831921004.

The spelling of 345332560 in words is "three hundred forty-five million, three hundred thirty-two thousand, five hundred sixty".