345200320 has 112 divisors (see below), whose sum is σ = 854890848. Its totient is φ = 132669440.

The previous prime is 345200267. The next prime is 345200357. The reversal of 345200320 is 23002543.

345200320 = T₄₆₅ + T₄₆₆ + ... + T₁₂₉₄.

It is a super-3 number, since 3×345200320³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1088802 + ... + 1089118.

It is an arithmetic number, because the mean of its divisors is an integer number (7632954).

Almost surely, 2^345200320 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 345200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427445424).

345200320 is an abundant number, since it is smaller than the sum of its proper divisors (509690528).

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

345200320 is a wasteful number, since it uses less digits than its factorization.

345200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 345200320 is about 18579.5672716024. The cubic root of 345200320 is about 701.4936270288.

Adding to 345200320 its reverse (23002543), we get a palindrome (368202863).

The spelling of 345200320 in words is "three hundred forty-five million, two hundred thousand, three hundred twenty".