3866429901600 has 432 divisors, whose sum is σ = 15646416065280. Its totient is φ = 880085606400.

The previous prime is 3866429901583. The next prime is 3866429901661. The reversal of 3866429901600 is 61099246683.

3866429901600 is a `hidden beast` number, since 3 + 8 + 6 + 6 + 4 + 29 + 9 + 0 + 1 + 600 = 666.

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 71 ways as a sum of consecutive naturals, for example, 11987241 + ... + 12305559.

Almost surely, 2^{3866429901600} is an apocalyptic number.

3866429901600 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 3866429901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7823208032640).

3866429901600 is an abundant number, since it is smaller than the sum of its proper divisors (11779986163680).

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

3866429901600 is a wasteful number, since it uses less digits than its factorization.

3866429901600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318593 (or 318577 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 3866429901600 in words is "three trillion, eight hundred sixty-six billion, four hundred twenty-nine million, nine hundred one thousand, six hundred".