345184544 has 48 divisors (see below), whose sum is σ = 712914048. Its totient is φ = 164328192.

The previous prime is 345184537. The next prime is 345184549. The reversal of 345184544 is 445481543.

It is a happy number.

345184544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 345184498 and 345184507.

It is not an unprimeable number, because it can be changed into a prime (345184549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52547 + ... + 58749.

It is an arithmetic number, because the mean of its divisors is an integer number (14852376).

Almost surely, 2^345184544 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 345184544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356457024).

345184544 is an abundant number, since it is smaller than the sum of its proper divisors (367729504).

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

345184544 is a wasteful number, since it uses less digits than its factorization.

345184544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6297 (or 6289 counting only the distinct ones).

The product of its digits is 153600, while the sum is 38.

The square root of 345184544 is about 18579.1427143450. The cubic root of 345184544 is about 701.4829405458.

The spelling of 345184544 in words is "three hundred forty-five million, one hundred eighty-four thousand, five hundred forty-four".