3938033664000 has 816 divisors, whose sum is σ = 14664315753984. Its totient is φ = 1015676928000.

The previous prime is 3938033663951. The next prime is 3938033664007. The reversal of 3938033664000 is 4663308393.

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

It is not an unprimeable number, because it can be changed into a prime (3938033664007) by changing a digit.

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, 2285567139 + ... + 2285568861.

Almost surely, 2^{3938033664000} is an apocalyptic number.

3938033664000 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 3938033664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7332157876992).

3938033664000 is an abundant number, since it is smaller than the sum of its proper divisors (10726282089984).

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

3938033664000 is an equidigital number, since it uses as much as digits as its factorization.

3938033664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 3938033664000 in words is "three trillion, nine hundred thirty-eight billion, thirty-three million, six hundred sixty-four thousand".