3878267129856 has 1664 divisors, whose sum is σ = 14531489280000. Its totient is φ = 997557534720.

The previous prime is 3878267129791. The next prime is 3878267129879. The reversal of 3878267129856 is 6589217628783.

3878267129856 is a `hidden beast` number, since 3 + 8 + 78 + 267 + 1 + 298 + 5 + 6 = 666.

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

Its product of digits (487710720) is a multiple of the sum of its prime divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35580432330 + ... + 35580432438.

Almost surely, 2^{3878267129856} is an apocalyptic number.

3878267129856 is a gapful number since it is divisible by the number (36) 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 3878267129856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7265744640000).

3878267129856 is an abundant number, since it is smaller than the sum of its proper divisors (10653222150144).

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

3878267129856 is a wasteful number, since it uses less digits than its factorization.

3878267129856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 240 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 3878267129856 in words is "three trillion, eight hundred seventy-eight billion, two hundred sixty-seven million, one hundred twenty-nine thousand, eight hundred fifty-six".