39042640 has 160 divisors (see below), whose sum is σ = 115992576. Its totient is φ = 11888640.

The previous prime is 39042631. The next prime is 39042643. The reversal of 39042640 is 4624093.

39042640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 39042599 and 39042608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39042643) 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 31 ways as a sum of consecutive naturals, for example, 225594 + ... + 225766.

Almost surely, 2^39042640 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 39042640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57996288).

39042640 is an abundant number, since it is smaller than the sum of its proper divisors (76949936).

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

39042640 is a wasteful number, since it uses less digits than its factorization.

39042640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 39042640 is about 6248.4109980058. The cubic root of 39042640 is about 339.2446901038.

The spelling of 39042640 in words is "thirty-nine million, forty-two thousand, six hundred forty".