3788646400000 has 1080 divisors, whose sum is σ = 12200830721856. Its totient is φ = 1142784000000.

The previous prime is 3788646399991. The next prime is 3788646400009. The reversal of 3788646400000 is 46468873.

It is an interprime number because it is at equal distance from previous prime (3788646399991) and next prime (3788646400009).

It is not an unprimeable number, because it can be changed into a prime (3788646400009) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122214399985 + ... + 122214400015.

Almost surely, 2^{3788646400000} 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 3788646400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6100415360928).

3788646400000 is an abundant number, since it is smaller than the sum of its proper divisors (8412184321856).

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

3788646400000 is an frugal number, since it uses more digits than its factorization.

3788646400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 3788646400000 in words is "three trillion, seven hundred eighty-eight billion, six hundred forty-six million, four hundred thousand".