3068928000 has 560 divisors, whose sum is σ = 11751329304. Its totient is φ = 796262400.

The previous prime is 3068927999. The next prime is 3068928029. The reversal of 3068928000 is 8298603.

It can be written as a sum of positive squares in 4 ways, for example, as 1579585536 + 1489342464 = 39744^2 + 38592^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82943982 + ... + 82944018.

Almost surely, 2^3068928000 is an apocalyptic number.

3068928000 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 3068928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875664652).

3068928000 is an abundant number, since it is smaller than the sum of its proper divisors (8682401304).

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

3068928000 is an frugal number, since it uses more digits than its factorization.

3068928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3068928000 is about 55397.9060976135. The cubic root of 3068928000 is about 1453.2117471627.

The spelling of 3068928000 in words is "three billion, sixty-eight million, nine hundred twenty-eight thousand".