3866241600 has 504 divisors, whose sum is σ = 15591779840. Its totient is φ = 900771840.

The previous prime is 3866241583. The next prime is 3866241611. The reversal of 3866241600 is 61426683.

3866241600 is a `hidden beast` number, since 3 + 8 + 6 + 6 + 2 + 41 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3556257 + ... + 3557343.

Almost surely, 2^3866241600 is an apocalyptic number.

3866241600 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 3866241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7795889920).

3866241600 is an abundant number, since it is smaller than the sum of its proper divisors (11725538240).

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

3866241600 is a wasteful number, since it uses less digits than its factorization.

3866241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3866241600 is about 62179.1090318927. The cubic root of 3866241600 is about 1569.5060585261.

The spelling of 3866241600 in words is "three billion, eight hundred sixty-six million, two hundred forty-one thousand, six hundred".