3009375040 has 112 divisors (see below), whose sum is σ = 8620963200. Its totient is φ = 977467392.

The previous prime is 3009375013. The next prime is 3009375041. The reversal of 3009375040 is 405739003.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 3009374993 and 3009375011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3009375041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7206 + ... + 77914.

Almost surely, 2^3009375040 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 3009375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310481600).

3009375040 is an abundant number, since it is smaller than the sum of its proper divisors (5611588160).

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

3009375040 is a wasteful number, since it uses less digits than its factorization.

3009375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70752 (or 70742 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 3009375040 is about 54857.7710083084. The cubic root of 3009375040 is about 1443.7503577768.

The spelling of 3009375040 in words is "three billion, nine million, three hundred seventy-five thousand, forty".