3988190800000 has 384 divisors, whose sum is σ = 11305020182400. Its totient is φ = 1387161600000.

The previous prime is 3988190799959. The next prime is 3988190800003. The reversal of 3988190800000 is 80918893.

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 (3988190800003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101180296 + ... + 101219704.

It is an arithmetic number, because the mean of its divisors is an integer number (29440156725).

Almost surely, 2^{3988190800000} 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 3988190800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652510091200).

3988190800000 is an abundant number, since it is smaller than the sum of its proper divisors (7316829382400).

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

3988190800000 is an equidigital number, since it uses as much as digits as its factorization.

3988190800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39482 (or 39450 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 46.

The spelling of 3988190800000 in words is "three trillion, nine hundred eighty-eight billion, one hundred ninety million, eight hundred thousand".