3181691664 has 200 divisors, whose sum is σ = 9767003840. Its totient is φ = 997132032.

The previous prime is 3181691659. The next prime is 3181691767. The reversal of 3181691664 is 4661961813.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3865557 + ... + 3866379.

Almost surely, 2^3181691664 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 3181691664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883501920).

3181691664 is an abundant number, since it is smaller than the sum of its proper divisors (6585312176).

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

3181691664 is a wasteful number, since it uses less digits than its factorization.

3181691664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1004 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 3181691664 is about 56406.4860100326. The cubic root of 3181691664 is about 1470.7968690735.

The spelling of 3181691664 in words is "three billion, one hundred eighty-one million, six hundred ninety-one thousand, six hundred sixty-four".