3009864960 has 576 divisors, whose sum is σ = 11655705600. Its totient is φ = 732561408.

The previous prime is 3009864931. The next prime is 3009864961. The reversal of 3009864960 is 694689003.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3009864961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27613386 + ... + 27613494.

It is an arithmetic number, because the mean of its divisors is an integer number (20235600).

Almost surely, 2^3009864960 is an apocalyptic number.

3009864960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3009864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827852800).

3009864960 is an abundant number, since it is smaller than the sum of its proper divisors (8645840640).

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

3009864960 is a wasteful number, since it uses less digits than its factorization.

3009864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3009864960 is about 54862.2361921203. The cubic root of 3009864960 is about 1443.8287000445.

The spelling of 3009864960 in words is "three billion, nine million, eight hundred sixty-four thousand, nine hundred sixty".