3865881600 has 1056 divisors, whose sum is σ = 17544591360. Its totient is φ = 813957120.

The previous prime is 3865881599. The next prime is 3865881601. The reversal of 3865881600 is 61885683.

3865881600 is a `hidden beast` number, since 3 + 8 + 6 + 588 + 1 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3865881599) and next prime (3865881601).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3865881601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82252777 + ... + 82252823.

Almost surely, 2^3865881600 is an apocalyptic number.

3865881600 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 3865881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8772295680).

3865881600 is an abundant number, since it is smaller than the sum of its proper divisors (13678709760).

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

3865881600 is a wasteful number, since it uses less digits than its factorization.

3865881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 3865881600 is about 62176.2141015356. The cubic root of 3865881600 is about 1569.4573428502.

The spelling of 3865881600 in words is "three billion, eight hundred sixty-five million, eight hundred eighty-one thousand, six hundred".