345255960 has 192 divisors, whose sum is σ = 1223320320. Its totient is φ = 77710080.

The previous prime is 345255949. The next prime is 345255961. The reversal of 345255960 is 69552543.

345255960 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 (345255961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417067 + ... + 417893.

It is an arithmetic number, because the mean of its divisors is an integer number (6371460).

Almost surely, 2^345255960 is an apocalyptic number.

345255960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345255960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611660160).

345255960 is an abundant number, since it is smaller than the sum of its proper divisors (878064360).

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

345255960 is a wasteful number, since it uses less digits than its factorization.

345255960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The square root of 345255960 is about 18581.0645550786. The cubic root of 345255960 is about 701.5313143331.

The spelling of 345255960 in words is "three hundred forty-five million, two hundred fifty-five thousand, nine hundred sixty".