3009346560 has 352 divisors, whose sum is σ = 11672812800. Its totient is φ = 729169920.

The previous prime is 3009346547. The next prime is 3009346589. The reversal of 3009346560 is 656439003.

3009346560 is a `hidden beast` number, since 3 + 0 + 0 + 93 + 4 + 6 + 560 = 666.

3009346560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1519651 + ... + 1521629.

It is an arithmetic number, because the mean of its divisors is an integer number (33161400).

Almost surely, 2^3009346560 is an apocalyptic number.

3009346560 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 3009346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836406400).

3009346560 is an abundant number, since it is smaller than the sum of its proper divisors (8663466240).

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

3009346560 is a wasteful number, since it uses less digits than its factorization.

3009346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3009346560 is about 54857.5114273333. The cubic root of 3009346560 is about 1443.7458033273.

The spelling of 3009346560 in words is "three billion, nine million, three hundred forty-six thousand, five hundred sixty".