3009958952 has 192 divisors, whose sum is σ = 7889788800. Its totient is φ = 1044126720.

The previous prime is 3009958949. The next prime is 3009958957. The reversal of 3009958952 is 2598599003.

It is a self number, because there is not a number n which added to its sum of digits gives 3009958952.

It is not an unprimeable number, because it can be changed into a prime (3009958957) 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 47 ways as a sum of consecutive naturals, for example, 3018518 + ... + 3019514.

It is an arithmetic number, because the mean of its divisors is an integer number (41092650).

Almost surely, 2^3009958952 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 3009958952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944894400).

3009958952 is an abundant number, since it is smaller than the sum of its proper divisors (4879829848).

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

3009958952 is a wasteful number, since it uses less digits than its factorization.

3009958952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 50.

The square root of 3009958952 is about 54863.0928038148. The cubic root of 3009958952 is about 1443.8437291722.

The spelling of 3009958952 in words is "three billion, nine million, nine hundred fifty-eight thousand, nine hundred fifty-two".