39664128 has 240 divisors, whose sum is σ = 134348544. Its totient is φ = 10321920.

The previous prime is 39664127. The next prime is 39664129. The reversal of 39664128 is 82146693.

It is an interprime number because it is at equal distance from previous prime (39664127) and next prime (39664129).

It is not an unprimeable number, because it can be changed into a prime (39664127) 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, 1279473 + ... + 1279503.

Almost surely, 2^39664128 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 39664128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67174272).

39664128 is an abundant number, since it is smaller than the sum of its proper divisors (94684416).

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

39664128 is a wasteful number, since it uses less digits than its factorization.

39664128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 39664128 is about 6297.9463319403. The cubic root of 39664128 is about 341.0352758317.

The spelling of 39664128 in words is "thirty-nine million, six hundred sixty-four thousand, one hundred twenty-eight".