39504114 has 48 divisors (see below), whose sum is σ = 92625624. Its totient is φ = 12096000.

The previous prime is 39504109. The next prime is 39504139. The reversal of 39504114 is 41140593.

39504114 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 26780625 + 12723489 = 5175^2 + 3567^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 93624 + ... + 94044.

Almost surely, 2^39504114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39504114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46312812).

39504114 is an abundant number, since it is smaller than the sum of its proper divisors (53121510).

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

39504114 is a wasteful number, since it uses less digits than its factorization.

39504114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 39504114 is about 6285.2298287334. The cubic root of 39504114 is about 340.5760534444.

The spelling of 39504114 in words is "thirty-nine million, five hundred four thousand, one hundred fourteen".