3009648516 has 96 divisors (see below), whose sum is σ = 8772083712. Its totient is φ = 783198720.

The previous prime is 3009648503. The next prime is 3009648517. The reversal of 3009648516 is 6158469003.

3009648516 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3009648516² = 18115968379722004512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3009648517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10275 + ... + 78261.

It is an arithmetic number, because the mean of its divisors is an integer number (91375872).

Almost surely, 2^3009648516 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 3009648516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386041856).

3009648516 is an abundant number, since it is smaller than the sum of its proper divisors (5762435196).

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

3009648516 is a wasteful number, since it uses less digits than its factorization.

3009648516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68049 (or 68047 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 3009648516 is about 54860.2635429324. The cubic root of 3009648516 is about 1443.7940899037.

The spelling of 3009648516 in words is "three billion, nine million, six hundred forty-eight thousand, five hundred sixteen".