3866886273600 has 567 divisors, whose sum is σ = 15994549282491. Its totient is φ = 883482163200.

The previous prime is 3866886273589. The next prime is 3866886273619. The reversal of 3866886273600 is 63726886683.

The square root of 3866886273600 is 1966440.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 660695616 + 3866225577984 = 25704^2 + 1966272^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 80 ways as a sum of consecutive naturals, for example, 1651808430 + ... + 1651810770.

Almost surely, 2^{3866886273600} is an apocalyptic number.

3866886273600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3866886273600 is the 1966440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3866886273600

3866886273600 is an abundant number, since it is smaller than the sum of its proper divisors (12127663008891).

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

3866886273600 is an equidigital number, since it uses as much as digits as its factorization.

3866886273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4724 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 3866886273600 in words is "three trillion, eight hundred sixty-six billion, eight hundred eighty-six million, two hundred seventy-three thousand, six hundred".