3863415631680 has 1792 divisors, whose sum is σ = 16267114552320. Its totient is φ = 863307694080.

The previous prime is 3863415631667. The next prime is 3863415631681. The reversal of 3863415631680 is 861365143683.

3863415631680 is a `hidden beast` number, since 3 + 8 + 6 + 3 + 415 + 63 + 168 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3863415631681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6936113962 + ... + 6936114518.

Almost surely, 2^{3863415631680} is an apocalyptic number.

3863415631680 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 3863415631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8133557276160).

3863415631680 is an abundant number, since it is smaller than the sum of its proper divisors (12403698920640).

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

3863415631680 is a wasteful number, since it uses less digits than its factorization.

3863415631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3863415631680 in words is "three trillion, eight hundred sixty-three billion, four hundred fifteen million, six hundred thirty-one thousand, six hundred eighty".