3811878766080 has 1600 divisors, whose sum is σ = 17128873681920. Its totient is φ = 787105382400.

The previous prime is 3811878766067. The next prime is 3811878766081. The reversal of 3811878766080 is 806678781183.

3811878766080 is a `hidden beast` number, since 3 + 8 + 1 + 18 + 7 + 8 + 7 + 6 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3811878765999 and 3811878766017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3811878766081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2889975661 + ... + 2889976979.

Almost surely, 2^{3811878766080} is an apocalyptic number.

3811878766080 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 3811878766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8564436840960).

3811878766080 is an abundant number, since it is smaller than the sum of its proper divisors (13316994915840).

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

3811878766080 is a wasteful number, since it uses less digits than its factorization.

3811878766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 3811878766080 in words is "three trillion, eight hundred eleven billion, eight hundred seventy-eight million, seven hundred sixty-six thousand, eighty".