3681797184 has 336 divisors, whose sum is σ = 11878561968. Its totient is φ = 1082916864.

The previous prime is 3681797179. The next prime is 3681797209. The reversal of 3681797184 is 4817971863.

3681797184 is a `hidden beast` number, since 368 + 17 + 97 + 184 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9437184 + 3672360000 = 3072^2 + 60600^2 .

It is a super-2 number, since 2×3681797184² = 27111261008220659712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3681797184.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26874364 + ... + 26874500.

It is an arithmetic number, because the mean of its divisors is an integer number (35352863).

Almost surely, 2^3681797184 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 3681797184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939280984).

3681797184 is an abundant number, since it is smaller than the sum of its proper divisors (8196764784).

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

3681797184 is a wasteful number, since it uses less digits than its factorization.

3681797184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 289 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 3681797184 is about 60677.8145947924. The cubic root of 3681797184 is about 1544.1398121221.

The spelling of 3681797184 in words is "three billion, six hundred eighty-one million, seven hundred ninety-seven thousand, one hundred eighty-four".