345256600 has 192 divisors, whose sum is σ = 945252000. Its totient is φ = 116121600.

The previous prime is 345256591. The next prime is 345256601. The reversal of 345256600 is 6652543.

345256600 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 (345256601) 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 47 ways as a sum of consecutive naturals, for example, 1432480 + ... + 1432720.

Almost surely, 2^345256600 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 345256600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472626000).

345256600 is an abundant number, since it is smaller than the sum of its proper divisors (599995400).

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

345256600 is a wasteful number, since it uses less digits than its factorization.

345256600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 345256600 is about 18581.0817769042. The cubic root of 345256600 is about 701.5317478084.

The spelling of 345256600 in words is "three hundred forty-five million, two hundred fifty-six thousand, six hundred".