345225000 has 96 divisors (see below), whose sum is σ = 1078993440. Its totient is φ = 92040000.

The previous prime is 345224993. The next prime is 345225007. The reversal of 345225000 is 522543.

It is an interprime number because it is at equal distance from previous prime (345224993) and next prime (345225007).

It is not an unprimeable number, because it can be changed into a prime (345225007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72699 + ... + 77301.

It is an arithmetic number, because the mean of its divisors is an integer number (11239515).

Almost surely, 2^345225000 is an apocalyptic number.

345225000 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 345225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539496720).

345225000 is an abundant number, since it is smaller than the sum of its proper divisors (733768440).

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

345225000 is an equidigital number, since it uses as much as digits as its factorization.

345225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 345225000 is about 18580.2314302056. The cubic root of 345225000 is about 701.5103443270.

Adding to 345225000 its reverse (522543), we get a palindrome (345747543).

The spelling of 345225000 in words is "three hundred forty-five million, two hundred twenty-five thousand".