3666429655200 has 1296 divisors, whose sum is σ = 14741602477056. Its totient is φ = 851984179200.

The previous prime is 3666429655193. The next prime is 3666429655201. The reversal of 3666429655200 is 25569246663.

It is not an unprimeable number, because it can be changed into a prime (3666429655201) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 3699726705 + ... + 3699727695.

Almost surely, 2^{3666429655200} is an apocalyptic number.

3666429655200 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 3666429655200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370801238528).

3666429655200 is an abundant number, since it is smaller than the sum of its proper divisors (11075172821856).

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

3666429655200 is a wasteful number, since it uses less digits than its factorization.

3666429655200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 3666429655200 in words is "three trillion, six hundred sixty-six billion, four hundred twenty-nine million, six hundred fifty-five thousand, two hundred".