345872328 has 64 divisors (see below), whose sum is σ = 897350400. Its totient is φ = 110960640.

The previous prime is 345872323. The next prime is 345872339. The reversal of 345872328 is 823278543.

It is a super-2 number, since 2×345872328² = 239255334552279168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345872328.

It is not an unprimeable number, because it can be changed into a prime (345872323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299400 + ... + 300552.

It is an arithmetic number, because the mean of its divisors is an integer number (14021100).

Almost surely, 2^345872328 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 345872328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448675200).

345872328 is an abundant number, since it is smaller than the sum of its proper divisors (551478072).

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

345872328 is a wasteful number, since it uses less digits than its factorization.

345872328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1618 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 345872328 is about 18597.6430764761. The cubic root of 345872328 is about 701.9485356059.

The spelling of 345872328 in words is "three hundred forty-five million, eight hundred seventy-two thousand, three hundred twenty-eight".