345003200 has 84 divisors (see below), whose sum is σ = 861163632. Its totient is φ = 136012800.

The previous prime is 345003187. The next prime is 345003221. The reversal of 345003200 is 2300543.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112082 + ... + 115118.

It is an arithmetic number, because the mean of its divisors is an integer number (10251948).

Almost surely, 2^345003200 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 345003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430581816).

345003200 is an abundant number, since it is smaller than the sum of its proper divisors (516160432).

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

345003200 is a wasteful number, since it uses less digits than its factorization.

345003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 345003200 is about 18574.2617619113. The cubic root of 345003200 is about 701.3600767928.

Adding to 345003200 its reverse (2300543), we get a palindrome (347303743).

The spelling of 345003200 in words is "three hundred forty-five million, three thousand, two hundred".