39039104 has 64 divisors (see below), whose sum is σ = 86751000. Its totient is φ = 17375232.

The previous prime is 39039103. The next prime is 39039131. The reversal of 39039104 is 40193093.

It can be written as a sum of positive squares in 4 ways, for example, as 34199104 + 4840000 = 5848^2 + 2200^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×39039104² = 3048103282245632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (39039103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47852 + ... + 48660.

Almost surely, 2^39039104 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 39039104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43375500).

39039104 is an abundant number, since it is smaller than the sum of its proper divisors (47711896).

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

39039104 is a wasteful number, since it uses less digits than its factorization.

39039104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 39039104 is about 6248.1280396612. The cubic root of 39039104 is about 339.2344482636.

The spelling of 39039104 in words is "thirty-nine million, thirty-nine thousand, one hundred four".