39697984 has 56 divisors (see below), whose sum is σ = 82890360. Its totient is φ = 18837504.

The previous prime is 39697981. The next prime is 39697991. The reversal of 39697984 is 48979693.

39697984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17040384 + 22657600 = 4128^2 + 4760^2 .

It is not an unprimeable number, because it can be changed into a prime (39697981) 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 7 ways as a sum of consecutive naturals, for example, 135342 + ... + 135634.

It is an arithmetic number, because the mean of its divisors is an integer number (1480185).

Almost surely, 2^39697984 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 39697984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41445180).

39697984 is an abundant number, since it is smaller than the sum of its proper divisors (43192376).

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

39697984 is a wasteful number, since it uses less digits than its factorization.

39697984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 397 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 55.

The square root of 39697984 is about 6300.6336189307. The cubic root of 39697984 is about 341.1322804159.

The spelling of 39697984 in words is "thirty-nine million, six hundred ninety-seven thousand, nine hundred eighty-four".