3781680056 has 192 divisors, whose sum is σ = 9946126080. Its totient is φ = 1325829120.

The previous prime is 3781680013. The next prime is 3781680083. The reversal of 3781680056 is 6500861873.

It is a super-2 number, since 2×3781680056² = 28602208091896326272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 3781679989 and 3781680016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1684871 + ... + 1687113.

It is an arithmetic number, because the mean of its divisors is an integer number (51802740).

Almost surely, 2^3781680056 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 3781680056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973063040).

3781680056 is an abundant number, since it is smaller than the sum of its proper divisors (6164446024).

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

3781680056 is a wasteful number, since it uses less digits than its factorization.

3781680056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 3781680056 is about 61495.3661343682. The cubic root of 3781680056 is about 1557.9789815805.

The spelling of 3781680056 in words is "three billion, seven hundred eighty-one million, six hundred eighty thousand, fifty-six".