3866083200 has 576 divisors, whose sum is σ = 15995166720. Its totient is φ = 870912000.

The previous prime is 3866083163. The next prime is 3866083213. The reversal of 3866083200 is 23806683.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25603125 + ... + 25603275.

Almost surely, 2^3866083200 is an apocalyptic number.

3866083200 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 3866083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7997583360).

3866083200 is an abundant number, since it is smaller than the sum of its proper divisors (12129083520).

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

3866083200 is a wasteful number, since it uses less digits than its factorization.

3866083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 295 counting only the distinct ones).

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

The square root of 3866083200 is about 62177.8352791411. The cubic root of 3866083200 is about 1569.4846240013.

Adding to 3866083200 its reverse (23806683), we get a palindrome (3889889883).

The spelling of 3866083200 in words is "three billion, eight hundred sixty-six million, eighty-three thousand, two hundred".