345020032 has 64 divisors (see below), whose sum is σ = 831781440. Its totient is φ = 139161600.

The previous prime is 345020021. The next prime is 345020041. The reversal of 345020032 is 230020543.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 345019991 and 345020009.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3907 + ... + 26557.

It is an arithmetic number, because the mean of its divisors is an integer number (12996585).

Almost surely, 2^345020032 is an apocalyptic number.

345020032 is a gapful number since it is divisible by the number (32) 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 345020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415890720).

345020032 is an abundant number, since it is smaller than the sum of its proper divisors (486761408).

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

345020032 is a wasteful number, since it uses less digits than its factorization.

345020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22689 (or 22677 counting only the distinct ones).

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

The square root of 345020032 is about 18574.7148564924. The cubic root of 345020032 is about 701.3714825816.

Adding to 345020032 its reverse (230020543), we get a palindrome (575040575).

The spelling of 345020032 in words is "three hundred forty-five million, twenty thousand, thirty-two".