345632320 has 112 divisors (see below), whose sum is σ = 905256000. Its totient is φ = 124651520.

The previous prime is 345632317. The next prime is 345632327. The reversal of 345632320 is 23236543.

It is not an unprimeable number, because it can be changed into a prime (345632327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524151 + ... + 524809.

Almost surely, 2^345632320 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 345632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452628000).

345632320 is an abundant number, since it is smaller than the sum of its proper divisors (559623680).

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

345632320 is a wasteful number, since it uses less digits than its factorization.

345632320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 345632320 is about 18591.1893110688. The cubic root of 345632320 is about 701.7861324737.

Adding to 345632320 its reverse (23236543), we get a palindrome (368868863).

The spelling of 345632320 in words is "three hundred forty-five million, six hundred thirty-two thousand, three hundred twenty".