3963681838080 has 440 divisors, whose sum is σ = 14821177928832. Its totient is φ = 1011023659008.

The previous prime is 3963681838049. The next prime is 3963681838093. The reversal of 3963681838080 is 808381863693.

3963681838080 is a `hidden beast` number, since 3 + 96 + 368 + 183 + 8 + 0 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3963681837999 and 3963681838017.

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 39 ways as a sum of consecutive naturals, for example, 9330789 + ... + 9746331.

Almost surely, 2^{3963681838080} is an apocalyptic number.

3963681838080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3963681838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7410588964416).

3963681838080 is an abundant number, since it is smaller than the sum of its proper divisors (10857496090752).

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

3963681838080 is a wasteful number, since it uses less digits than its factorization.

3963681838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415603 (or 415576 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 3963681838080 in words is "three trillion, nine hundred sixty-three billion, six hundred eighty-one million, eight hundred thirty-eight thousand, eighty".