3866385600 has 756 divisors, whose sum is σ = 17317193712. Its totient is φ = 800870400.

The previous prime is 3866385577. The next prime is 3866385613. The reversal of 3866385600 is 65836683.

3866385600 is a `hidden beast` number, since 3 + 8 + 6 + 6 + 38 + 5 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12196642 + ... + 12196958.

Almost surely, 2^3866385600 is an apocalyptic number.

3866385600 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 3866385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8658596856).

3866385600 is an abundant number, since it is smaller than the sum of its proper divisors (13450808112).

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

3866385600 is a wasteful number, since it uses less digits than its factorization.

3866385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3866385600 is about 62180.2669662973. The cubic root of 3866385600 is about 1569.5255439498.

The spelling of 3866385600 in words is "three billion, eight hundred sixty-six million, three hundred eighty-five thousand, six hundred".