3866190881280 has 2880 divisors, whose sum is σ = 16816675949568. Its totient is φ = 753582735360.

The previous prime is 3866190881219. The next prime is 3866190881327. The reversal of 3866190881280 is 821880916683.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 72946997734 + ... + 72946997786.

Almost surely, 2^{3866190881280} is an apocalyptic number.

3866190881280 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 3866190881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8408337974784).

3866190881280 is an abundant number, since it is smaller than the sum of its proper divisors (12950485068288).

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

3866190881280 is a wasteful number, since it uses less digits than its factorization.

3866190881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 60.

The spelling of 3866190881280 in words is "three trillion, eight hundred sixty-six billion, one hundred ninety million, eight hundred eighty-one thousand, two hundred eighty".