324138048 has 112 divisors (see below), whose sum is σ = 978042240. Its totient is φ = 93855744.

The previous prime is 324138041. The next prime is 324138049. The reversal of 324138048 is 840831423.

It is a super-3 number, since 3×324138048³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (324138041) 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, 38613 + ... + 46251.

It is an arithmetic number, because the mean of its divisors is an integer number (8732520).

Almost surely, 2^324138048 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 324138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489021120).

324138048 is an abundant number, since it is smaller than the sum of its proper divisors (653904192).

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

324138048 is a wasteful number, since it uses less digits than its factorization.

324138048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7684 (or 7674 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 324138048 is about 18003.8342582906. The cubic root of 324138048 is about 686.9260782934.

The spelling of 324138048 in words is "three hundred twenty-four million, one hundred thirty-eight thousand, forty-eight".