3181061664 has 144 divisors (see below), whose sum is σ = 9899547840. Its totient is φ = 960929280.

The previous prime is 3181061659. The next prime is 3181061669. The reversal of 3181061664 is 4661601813.

3181061664 is a `hidden beast` number, since 31 + 8 + 1 + 0 + 616 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3181061659) and next prime (3181061669).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (3181061669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1135914 + ... + 1138710.

It is an arithmetic number, because the mean of its divisors is an integer number (68746860).

Almost surely, 2^3181061664 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 3181061664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4949773920).

3181061664 is an abundant number, since it is smaller than the sum of its proper divisors (6718486176).

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

3181061664 is a wasteful number, since it uses less digits than its factorization.

3181061664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3183 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3181061664 is about 56400.9012693946. The cubic root of 3181061664 is about 1470.6997862121.

The spelling of 3181061664 in words is "three billion, one hundred eighty-one million, sixty-one thousand, six hundred sixty-four".