3009415680 has 400 divisors, whose sum is σ = 11265243264. Its totient is φ = 766402560.

The previous prime is 3009415639. The next prime is 3009415697. The reversal of 3009415680 is 865149003.

3009415680 is a `hidden beast` number, since 3 + 0 + 0 + 94 + 1 + 568 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4768965 + ... + 4769595.

Almost surely, 2^3009415680 is an apocalyptic number.

3009415680 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 3009415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632621632).

3009415680 is an abundant number, since it is smaller than the sum of its proper divisors (8255827584).

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

3009415680 is an equidigital number, since it uses as much as digits as its factorization.

3009415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3009415680 is about 54858.1414194830. The cubic root of 3009415680 is about 1443.7568567730.

The spelling of 3009415680 in words is "three billion, nine million, four hundred fifteen thousand, six hundred eighty".