325638144 has 240 divisors, whose sum is σ = 1054413360. Its totient is φ = 99532800.

The previous prime is 325638139. The next prime is 325638193. The reversal of 325638144 is 441836523.

325638144 is a `hidden beast` number, since 3 + 2 + 5 + 638 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 325638099 and 325638108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2156469 + ... + 2156619.

It is an arithmetic number, because the mean of its divisors is an integer number (4393389).

Almost surely, 2^325638144 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 325638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527206680).

325638144 is an abundant number, since it is smaller than the sum of its proper divisors (728775216).

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

325638144 is a wasteful number, since it uses less digits than its factorization.

325638144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 169 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 325638144 is about 18045.4466278893. The cubic root of 325638144 is about 687.9841352029.

The spelling of 325638144 in words is "three hundred twenty-five million, six hundred thirty-eight thousand, one hundred forty-four".