3666036326400 has 816 divisors, whose sum is σ = 15394655948800. Its totient is φ = 837880381440.

The previous prime is 3666036326387. The next prime is 3666036326417. The reversal of 3666036326400 is 46236306663.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 309651681 + ... + 309663519.

Almost surely, 2^{3666036326400} is an apocalyptic number.

3666036326400 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 3666036326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7697327974400).

3666036326400 is an abundant number, since it is smaller than the sum of its proper divisors (11728619622400).

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

3666036326400 is an equidigital number, since it uses as much as digits as its factorization.

3666036326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11897 (or 11856 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 45.

The spelling of 3666036326400 in words is "three trillion, six hundred sixty-six billion, thirty-six million, three hundred twenty-six thousand, four hundred".