39648384 has 96 divisors (see below), whose sum is σ = 115415040. Its totient is φ = 13063680.

The previous prime is 39648379. The next prime is 39648391. The reversal of 39648384 is 48384693.

39648384 is a `hidden beast` number, since 3 + 96 + 483 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×39648384² = 3143988707622912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146169 + ... + 146439.

It is an arithmetic number, because the mean of its divisors is an integer number (1202240).

Almost surely, 2^39648384 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 39648384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57707520).

39648384 is an abundant number, since it is smaller than the sum of its proper divisors (75766656).

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

39648384 is a wasteful number, since it uses less digits than its factorization.

39648384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 403 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 39648384 is about 6296.6962766200. The cubic root of 39648384 is about 340.9901471455.

The spelling of 39648384 in words is "thirty-nine million, six hundred forty-eight thousand, three hundred eighty-four".