3785938128000 has 384 divisors, whose sum is σ = 15538575911040. Its totient is φ = 865357056000.

The previous prime is 3785938127953. The next prime is 3785938128013. The reversal of 3785938128000 is 8218395873.

3785938128000 is a `hidden beast` number, since 37 + 8 + 593 + 8 + 12 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 869946 + ... + 2885945.

It is an arithmetic number, because the mean of its divisors is an integer number (40465041435).

Almost surely, 2^{3785938128000} is an apocalyptic number.

3785938128000 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 3785938128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7769287955520).

3785938128000 is an abundant number, since it is smaller than the sum of its proper divisors (11752637783040).

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

3785938128000 is a wasteful number, since it uses less digits than its factorization.

3785938128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755933 (or 3755908 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 3785938128000 in words is "three trillion, seven hundred eighty-five billion, nine hundred thirty-eight million, one hundred twenty-eight thousand".