3877378966080 has 168 divisors, whose sum is σ = 13441581683712. Its totient is φ = 1025826149376.

The previous prime is 3877378966039. The next prime is 3877378966081. The reversal of 3877378966080 is 806698737783.

3877378966080 is a `hidden beast` number, since 3 + 8 + 7 + 7 + 3 + 7 + 8 + 9 + 6 + 608 + 0 = 666.

It is a super-3 number, since 3×3877378966080³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3877378966081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4934682 + ... + 5666201.

It is an arithmetic number, because the mean of its divisors is an integer number (80009414784).

Almost surely, 2^{3877378966080} is an apocalyptic number.

3877378966080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3877378966080 is an abundant number, since it is smaller than the sum of its proper divisors (9564202717632).

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

3877378966080 is a wasteful number, since it uses less digits than its factorization.

3877378966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10601033 (or 10601020 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 3877378966080 in words is "three trillion, eight hundred seventy-seven billion, three hundred seventy-eight million, nine hundred sixty-six thousand, eighty".