39264144 has 80 divisors (see below), whose sum is σ = 106749120. Its totient is φ = 12418560.

The previous prime is 39264143. The next prime is 39264179. The reversal of 39264144 is 44146293.

39264144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (39264143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93054 + ... + 93474.

It is an arithmetic number, because the mean of its divisors is an integer number (1334364).

Almost surely, 2^39264144 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 39264144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53374560).

39264144 is an abundant number, since it is smaller than the sum of its proper divisors (67484976).

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

39264144 is a wasteful number, since it uses less digits than its factorization.

39264144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 522 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 39264144 is about 6266.1107554846. The cubic root of 39264144 is about 339.8850361029.

The spelling of 39264144 in words is "thirty-nine million, two hundred sixty-four thousand, one hundred forty-four".