39648672 has 144 divisors (see below), whose sum is σ = 131144832. Its totient is φ = 11128320.

The previous prime is 39648671. The next prime is 39648673. The reversal of 39648672 is 27684693.

It is an interprime number because it is at equal distance from previous prime (39648671) and next prime (39648673).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (39648671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142998 + ... + 143274.

It is an arithmetic number, because the mean of its divisors is an integer number (910728).

Almost surely, 2^39648672 is an apocalyptic number.

39648672 is a gapful number since it is divisible by the number (32) 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 39648672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65572416).

39648672 is an abundant number, since it is smaller than the sum of its proper divisors (91496160).

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

39648672 is a wasteful number, since it uses less digits than its factorization.

39648672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 39648672 is about 6296.7191457139. The cubic root of 39648672 is about 340.9909727775.

The spelling of 39648672 in words is "thirty-nine million, six hundred forty-eight thousand, six hundred seventy-two".