3068290560 has 320 divisors, whose sum is σ = 10564038144. Its totient is φ = 756940800.

The previous prime is 3068290553. The next prime is 3068290579. The reversal of 3068290560 is 650928603.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3068290560² = 18828813921170227200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 9269595 + ... + 9269925.

Almost surely, 2^3068290560 is an apocalyptic number.

3068290560 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 3068290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282019072).

3068290560 is an abundant number, since it is smaller than the sum of its proper divisors (7495747584).

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

3068290560 is a wasteful number, since it uses less digits than its factorization.

3068290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 3068290560 is about 55392.1525127883. The cubic root of 3068290560 is about 1453.1111257688. Note that the first 4 decimals are identical.

The spelling of 3068290560 in words is "three billion, sixty-eight million, two hundred ninety thousand, five hundred sixty".