39009040 has 80 divisors (see below), whose sum is σ = 106243200. Its totient is φ = 13040640.

The previous prime is 39009037. The next prime is 39009043. The reversal of 39009040 is 4090093.

It is an interprime number because it is at equal distance from previous prime (39009037) and next prime (39009043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 39008996 and 39009014.

It is not an unprimeable number, because it can be changed into a prime (39009043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22111 + ... + 23809.

It is an arithmetic number, because the mean of its divisors is an integer number (1328040).

Almost surely, 2^39009040 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 39009040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53121600).

39009040 is an abundant number, since it is smaller than the sum of its proper divisors (67234160).

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

39009040 is a wasteful number, since it uses less digits than its factorization.

39009040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 39009040 is about 6245.7217357164. The cubic root of 39009040 is about 339.1473444579.

The spelling of 39009040 in words is "thirty-nine million, nine thousand, forty".