345324800 has 108 divisors (see below), whose sum is σ = 866819520. Its totient is φ = 136181760.

The previous prime is 345324761. The next prime is 345324809. The reversal of 345324800 is 8423543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345324809) 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 11 ways as a sum of consecutive naturals, for example, 505259 + ... + 505941.

Almost surely, 2^345324800 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 345324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433409760).

345324800 is an abundant number, since it is smaller than the sum of its proper divisors (521494720).

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

345324800 is an equidigital number, since it uses as much as digits as its factorization.

345324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 345324800 is about 18582.9168862157. The cubic root of 345324800 is about 701.5779369473.

The spelling of 345324800 in words is "three hundred forty-five million, three hundred twenty-four thousand, eight hundred".