39648144 has 40 divisors (see below), whose sum is σ = 102900160. Its totient is φ = 13154688.

The previous prime is 39648143. The next prime is 39648151. The reversal of 39648144 is 44184693.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (39648143) 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, 9189 + ... + 12795.

It is an arithmetic number, because the mean of its divisors is an integer number (2572504).

Almost surely, 2^39648144 is an apocalyptic number.

It is an amenable number.

39648144 is an abundant number, since it is smaller than the sum of its proper divisors (63252016).

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

39648144 is a wasteful number, since it uses less digits than its factorization.

39648144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847 (or 3841 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 39648144 is about 6296.6772189783. The cubic root of 39648144 is about 340.9894591158.

The spelling of 39648144 in words is "thirty-nine million, six hundred forty-eight thousand, one hundred forty-four".