3680638480000 has 320 divisors, whose sum is σ = 9575691048000. Its totient is φ = 1406096384000.

The previous prime is 3680638479997. The next prime is 3680638480007. The reversal of 3680638480000 is 848360863.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (3680638480007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1753518951 + ... + 1753521049.

It is an arithmetic number, because the mean of its divisors is an integer number (29924034525).

Almost surely, 2^{3680638480000} 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 3680638480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787845524000).

3680638480000 is an abundant number, since it is smaller than the sum of its proper divisors (5895052568000).

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

3680638480000 is an equidigital number, since it uses as much as digits as its factorization.

3680638480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 3680638480000 in words is "three trillion, six hundred eighty billion, six hundred thirty-eight million, four hundred eighty thousand".