345648 has 40 divisors (see below), whose sum is σ = 942400. Its totient is φ = 108864.

The previous prime is 345647. The next prime is 345659. The reversal of 345648 is 846543.

345648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×345648³ = 123886333418213376, which contains 333 as substring.

It is a d-powerful number, because it can be written as 3³ + 4² + 6⁷ + 5³ + 4⁸ + 8 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345648.

It is not an unprimeable number, because it can be changed into a prime (345643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 723 + ... + 1101.

It is an arithmetic number, because the mean of its divisors is an integer number (23560).

2³⁴⁵⁶⁴⁸ is an apocalyptic number.

345648 is a gapful number since it is divisible by the number (38) 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 345648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471200).

345648 is an abundant number, since it is smaller than the sum of its proper divisors (596752).

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

345648 is a wasteful number, since it uses less digits than its factorization.

345648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 345648 is about 587.9183616796. The cubic root of 345648 is about 70.1796744753.

The spelling of 345648 in words is "three hundred forty-five thousand, six hundred forty-eight".