3641661616000 has 128 divisors (see below), whose sum is σ = 9055388403360. Its totient is φ = 1456454348800.

The previous prime is 3641661615971. The next prime is 3641661616001. The reversal of 3641661616000 is 6161661463.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3641661616001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158756532 + ... + 158779468.

Almost surely, 2^{3641661616000} 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 3641661616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527694201680).

3641661616000 is an abundant number, since it is smaller than the sum of its proper divisors (5413726787360).

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

3641661616000 is an equidigital number, since it uses as much as digits as its factorization.

3641661616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32889 (or 32867 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 3641661616000 in words is "three trillion, six hundred forty-one billion, six hundred sixty-one million, six hundred sixteen thousand".