3072840000 has 280 divisors, whose sum is σ = 10521756960. Its totient is φ = 790272000.

The previous prime is 3072839921. The next prime is 3072840007. The reversal of 3072840000 is 482703.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3072840007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3479559 + ... + 3480441.

Almost surely, 2^3072840000 is an apocalyptic number.

3072840000 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 3072840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260878480).

3072840000 is an abundant number, since it is smaller than the sum of its proper divisors (7448916960).

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

3072840000 is an equidigital number, since it uses as much as digits as its factorization.

3072840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3072840000 is about 55433.2030465496. The cubic root of 3072840000 is about 1453.8289605674.

The spelling of 3072840000 in words is "three billion, seventy-two million, eight hundred forty thousand".