3072960000 has 600 divisors, whose sum is σ = 12214546344. Its totient is φ = 737280000.

The previous prime is 3072959999. The next prime is 3072960013. The reversal of 3072960000 is 692703.

3072960000 is a `hidden beast` number, since 30 + 7 + 29 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 31679952 + ... + 31680048.

Almost surely, 2^3072960000 is an apocalyptic number.

3072960000 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 3072960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107273172).

3072960000 is an abundant number, since it is smaller than the sum of its proper divisors (9141586344).

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

3072960000 is an equidigital number, since it uses as much as digits as its factorization.

3072960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3072960000 is about 55434.2854197653. The cubic root of 3072960000 is about 1453.8478852109.

The spelling of 3072960000 in words is "three billion, seventy-two million, nine hundred sixty thousand".