3058648560 has 640 divisors, whose sum is σ = 12470630400. Its totient is φ = 681246720.

The previous prime is 3058648553. The next prime is 3058648561. The reversal of 3058648560 is 658468503.

3058648560 is a `hidden beast` number, since 3 + 0 + 5 + 86 + 4 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3058648561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15847824 + ... + 15848016.

It is an arithmetic number, because the mean of its divisors is an integer number (19485360).

Almost surely, 2^3058648560 is an apocalyptic number.

3058648560 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 3058648560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235315200).

3058648560 is an abundant number, since it is smaller than the sum of its proper divisors (9411981840).

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

3058648560 is a wasteful number, since it uses less digits than its factorization.

3058648560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 3058648560 is about 55305.0500406608. The cubic root of 3058648560 is about 1451.5874109473.

The spelling of 3058648560 in words is "three billion, fifty-eight million, six hundred forty-eight thousand, five hundred sixty".