3000863360 has 256 divisors, whose sum is σ = 8375685120. Its totient is φ = 1017139200.

The previous prime is 3000863357. The next prime is 3000863377. The reversal of 3000863360 is 633680003.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6962345 + ... + 6962775.

It is an arithmetic number, because the mean of its divisors is an integer number (32717520).

Almost surely, 2^3000863360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187842560).

3000863360 is an abundant number, since it is smaller than the sum of its proper divisors (5374821760).

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

3000863360 is a wasteful number, since it uses less digits than its factorization.

3000863360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 3000863360 is about 54780.1365460146. The cubic root of 3000863360 is about 1442.3879104362.

The spelling of 3000863360 in words is "three billion, eight hundred sixty-three thousand, three hundred sixty".