3682183760 has 80 divisors (see below), whose sum is σ = 9007204752. Its totient is φ = 1398067200.

The previous prime is 3682183733. The next prime is 3682183819. The reversal of 3682183760 is 673812863.

It is a Cunningham number, because it is equal to 60681²-1.

It can be written as a sum of positive squares in 8 ways, for example, as 341806144 + 3340377616 = 18488^2 + 57796^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106190 + ... + 136530.

Almost surely, 2^3682183760 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 3682183760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503602376).

3682183760 is an abundant number, since it is smaller than the sum of its proper divisors (5325020992).

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

3682183760 is a wasteful number, since it uses less digits than its factorization.

3682183760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30432 (or 30426 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 3682183760 is about 60680.9999917602. Note that the first 5 decimals coincide. The cubic root of 3682183760 is about 1544.1938533482.

The spelling of 3682183760 in words is "three billion, six hundred eighty-two million, one hundred eighty-three thousand, seven hundred sixty".