345256800 has 144 divisors (see below), whose sum is σ = 1284417792. Its totient is φ = 78912000.

The previous prime is 345256799. The next prime is 345256817. The reversal of 345256800 is 8652543.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6525 + ... + 27075.

It is an arithmetic number, because the mean of its divisors is an integer number (8919568).

Almost surely, 2^345256800 is an apocalyptic number.

345256800 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 345256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642208896).

345256800 is an abundant number, since it is smaller than the sum of its proper divisors (939160992).

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

345256800 is a wasteful number, since it uses less digits than its factorization.

345256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20581 (or 20568 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 345256800 is about 18581.0871587214. The cubic root of 345256800 is about 701.5318832693.

The spelling of 345256800 in words is "three hundred forty-five million, two hundred fifty-six thousand, eight hundred".