3061132560 has 600 divisors, whose sum is σ = 11947985280. Its totient is φ = 723976704.

The previous prime is 3061132559. The next prime is 3061132567. The reversal of 3061132560 is 652311603.

3061132560 is a `hidden beast` number, since 30 + 61 + 13 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3061132567) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65130457 + ... + 65130503.

Almost surely, 2^3061132560 is an apocalyptic number.

3061132560 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 3061132560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5973992640).

3061132560 is an abundant number, since it is smaller than the sum of its proper divisors (8886852720).

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

3061132560 is a wasteful number, since it uses less digits than its factorization.

3061132560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3061132560 is about 55327.5027450182. The cubic root of 3061132560 is about 1451.9802606428.

The spelling of 3061132560 in words is "three billion, sixty-one million, one hundred thirty-two thousand, five hundred sixty".