3785760000000 has 1152 divisors, whose sum is σ = 14972305420800. Its totient is φ = 913920000000.

The previous prime is 3785759999929. The next prime is 3785760000031. The reversal of 3785760000000 is 675873.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3785760000000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15839999881 + ... + 15840000119.

It is an arithmetic number, because the mean of its divisors is an integer number (12996792900).

Almost surely, 2^{3785760000000} is an apocalyptic number.

3785760000000 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 3785760000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7486152710400).

3785760000000 is an abundant number, since it is smaller than the sum of its proper divisors (11186545420800).

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

3785760000000 is an frugal number, since it uses more digits than its factorization.

3785760000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 3785760000000 its reverse (675873), we get a palindrome (3785760675873).

The spelling of 3785760000000 in words is "three trillion, seven hundred eighty-five billion, seven hundred sixty million", and thus it is an aban number.