3181066560 has 448 divisors, whose sum is σ = 12947904000. Its totient is φ = 720175104.

The previous prime is 3181066531. The next prime is 3181066657. The reversal of 3181066560 is 656601813.

It is a happy number.

3181066560 is a `hidden beast` number, since 31 + 8 + 1 + 0 + 66 + 560 = 666.

3181066560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9011344 + ... + 9011696.

Almost surely, 2^3181066560 is an apocalyptic number.

3181066560 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 3181066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6473952000).

3181066560 is an abundant number, since it is smaller than the sum of its proper divisors (9766837440).

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

3181066560 is a wasteful number, since it uses less digits than its factorization.

3181066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3181066560 is about 56400.9446729397. The cubic root of 3181066560 is about 1470.7005407340.

The spelling of 3181066560 in words is "three billion, one hundred eighty-one million, sixty-six thousand, five hundred sixty".