3011916960 has 576 divisors, whose sum is σ = 11788882560. Its totient is φ = 721612800.

The previous prime is 3011916899. The next prime is 3011916961. The reversal of 3011916960 is 696191103.

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

It is not an unprimeable number, because it can be changed into a prime (3011916961) 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 95 ways as a sum of consecutive naturals, for example, 29820910 + ... + 29821010.

It is an arithmetic number, because the mean of its divisors is an integer number (20466810).

Almost surely, 2^3011916960 is an apocalyptic number.

3011916960 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 3011916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894441280).

3011916960 is an abundant number, since it is smaller than the sum of its proper divisors (8776965600).

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

3011916960 is a wasteful number, since it uses less digits than its factorization.

3011916960 is an odious number, because the sum of its binary digits is odd.

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

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 3011916960 is about 54880.9343943778. The cubic root of 3011916960 is about 1444.1567395078.

The spelling of 3011916960 in words is "three billion, eleven million, nine hundred sixteen thousand, nine hundred sixty".