324051840 has 640 divisors, whose sum is σ = 1421798400. Its totient is φ = 68677632.

The previous prime is 324051839. The next prime is 324051851. The reversal of 324051840 is 48150423.

324051840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6894697 + ... + 6894743.

It is an arithmetic number, because the mean of its divisors is an integer number (2221560).

Almost surely, 2^324051840 is an apocalyptic number.

324051840 is a gapful number since it is divisible by the number (30) 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 324051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710899200).

324051840 is an abundant number, since it is smaller than the sum of its proper divisors (1097746560).

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

324051840 is a wasteful number, since it uses less digits than its factorization.

324051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 324051840 is about 18001.4399424046. The cubic root of 324051840 is about 686.8651744343.

It can be divided in two parts, 3240 and 51840, that multiplied together give a square (167961600 = 12960²).

The spelling of 324051840 in words is "three hundred twenty-four million, fifty-one thousand, eight hundred forty".