3878227745280 has 1280 divisors, whose sum is σ = 16878561131520. Its totient is φ = 834164490240.

The previous prime is 3878227745251. The next prime is 3878227745299. The reversal of 3878227745280 is 825477228783.

3878227745280 is a `hidden beast` number, since 3 + 8 + 7 + 82 + 27 + 7 + 4 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

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, 666244770 + ... + 666250590.

It is an arithmetic number, because the mean of its divisors is an integer number (13186375884).

Almost surely, 2^{3878227745280} is an apocalyptic number.

3878227745280 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 3878227745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439280565760).

3878227745280 is an abundant number, since it is smaller than the sum of its proper divisors (13000333386240).

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

3878227745280 is an frugal number, since it uses more digits than its factorization.

3878227745280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889 (or 5855 counting only the distinct ones).

The product of its (nonzero) digits is 84295680, while the sum is 63.

The spelling of 3878227745280 in words is "three trillion, eight hundred seventy-eight billion, two hundred twenty-seven million, seven hundred forty-five thousand, two hundred eighty".