3072000000 has 238 divisors, whose sum is σ = 10239790804. Its totient is φ = 819200000.

The previous prime is 3071999981. The next prime is 3072000017. The reversal of 3072000000 is 2703.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 3072000000.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 614399998 + ... + 614400002.

Almost surely, 2^3072000000 is an apocalyptic number.

3072000000 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 3072000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119895402).

3072000000 is an abundant number, since it is smaller than the sum of its proper divisors (7167790804).

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

3072000000 is an frugal number, since it uses more digits than its factorization.

3072000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 3072000000 is about 55425.6258422041. The cubic root of 3072000000 is about 1453.6964742657.

Multiplying 3072000000 by its sum of digits (12), we get a square (36864000000 = 192000²).

3072000000 divided by its sum of digits (12) gives a square (256000000 = 16000²).

Adding to 3072000000 its reverse (2703), we get a palindrome (3072002703).

The spelling of 3072000000 in words is "three billion, seventy-two million", and thus it is an aban number and an uban number.