3827686440960 has 760 divisors, whose sum is σ = 14177794219776. Its totient is φ = 986940702720.

The previous prime is 3827686440959. The next prime is 3827686440983. The reversal of 3827686440960 is 690446867283.

3827686440960 is a `hidden beast` number, since 3 + 8 + 27 + 6 + 86 + 440 + 96 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3291217339 + ... + 3291218501.

Almost surely, 2^{3827686440960} is an apocalyptic number.

3827686440960 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 3827686440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7088897109888).

3827686440960 is an abundant number, since it is smaller than the sum of its proper divisors (10350107778816).

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

3827686440960 is an frugal number, since it uses more digits than its factorization.

3827686440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 3827686440960 in words is "three trillion, eight hundred twenty-seven billion, six hundred eighty-six million, four hundred forty thousand, nine hundred sixty".