3853663616000 has 704 divisors, whose sum is σ = 11041999847424. Its totient is φ = 1328431104000.

The previous prime is 3853663615981. The next prime is 3853663616009. The reversal of 3853663616000 is 6163663583.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3853663616009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4112767532 + ... + 4112768468.

Almost surely, 2^{3853663616000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3853663616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520999923712).

3853663616000 is an abundant number, since it is smaller than the sum of its proper divisors (7188336231424).

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

3853663616000 is a wasteful number, since it uses less digits than its factorization.

3853663616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 47.

The spelling of 3853663616000 in words is "three trillion, eight hundred fifty-three billion, six hundred sixty-three million, six hundred sixteen thousand".