3788342784000 has 624 divisors, whose sum is σ = 14162835304800. Its totient is φ = 1010191564800.

The previous prime is 3788342783993. The next prime is 3788342784013. The reversal of 3788342784000 is 4872438873.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124400776 + ... + 124431224.

It is an arithmetic number, because the mean of its divisors is an integer number (22696851450).

Almost surely, 2^{3788342784000} is an apocalyptic number.

3788342784000 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 3788342784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7081417652400).

3788342784000 is an abundant number, since it is smaller than the sum of its proper divisors (10374492520800).

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

3788342784000 is an frugal number, since it uses more digits than its factorization.

3788342784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30503 (or 30459 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 3788342784000 in words is "three trillion, seven hundred eighty-eight billion, three hundred forty-two million, seven hundred eighty-four thousand".