3866587248 has 120 divisors (see below), whose sum is σ = 10599285888. Its totient is φ = 1214411904.

The previous prime is 3866587237. The next prime is 3866587259. The reversal of 3866587248 is 8427856683.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3866587237) and next prime (3866587259).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3932965 + ... + 3933947.

Almost surely, 2^3866587248 is an apocalyptic number.

3866587248 is a gapful number since it is divisible by the number (38) 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 3866587248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299642944).

3866587248 is an abundant number, since it is smaller than the sum of its proper divisors (6732698640).

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

3866587248 is a wasteful number, since it uses less digits than its factorization.

3866587248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1234 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 57.

The square root of 3866587248 is about 62181.8884242028. Note that the first 3 decimals coincide. The cubic root of 3866587248 is about 1569.5528292250.

The spelling of 3866587248 in words is "three billion, eight hundred sixty-six million, five hundred eighty-seven thousand, two hundred forty-eight".