3785886720000 has 2520 divisors, whose sum is σ = 17344249850928. Its totient is φ = 778567680000.

The previous prime is 3785886719983. The next prime is 3785886720017. The reversal of 3785886720000 is 276885873.

3785886720000 is a `hidden beast` number, since 37 + 8 + 588 + 6 + 7 + 20 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3785886719983) and next prime (3785886720017).

It is a tau number, because it is divible by the number of its divisors (2520).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 39029759952 + ... + 39029760048.

Almost surely, 2^{3785886720000} is an apocalyptic number.

3785886720000 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 3785886720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8672124925464).

3785886720000 is an abundant number, since it is smaller than the sum of its proper divisors (13558363130928).

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

3785886720000 is an equidigital number, since it uses as much as digits as its factorization.

3785886720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 3785886720000 in words is "three trillion, seven hundred eighty-five billion, eight hundred eighty-six million, seven hundred twenty thousand".