3782988000000 has 1512 divisors, whose sum is σ = 15301539450288. Its totient is φ = 890880000000.

The previous prime is 3782987999899. The next prime is 3782988000019. The reversal of 3782988000000 is 8892873.

3782988000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3782988000000.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 16235999884 + ... + 16236000116.

It is an arithmetic number, because the mean of its divisors is an integer number (10120065774).

Almost surely, 2^{3782988000000} is an apocalyptic number.

3782988000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3782988000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7650769725144).

3782988000000 is an abundant number, since it is smaller than the sum of its proper divisors (11518551450288).

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

3782988000000 is an equidigital number, since it uses as much as digits as its factorization.

3782988000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 3782988000000 in words is "three trillion, seven hundred eighty-two billion, nine hundred eighty-eight million", and thus it is an aban number.