3778409664000 has 960 divisors, whose sum is σ = 14586407035200. Its totient is φ = 936679833600.

The previous prime is 3778409663999. The next prime is 3778409664091. The reversal of 3778409664000 is 4669048773.

It is a happy number.

3778409664000 is a `hidden beast` number, since 3 + 77 + 84 + 0 + 96 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 812733676 + ... + 812738324.

It is an arithmetic number, because the mean of its divisors is an integer number (15194173995).

Almost surely, 2^{3778409664000} is an apocalyptic number.

3778409664000 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 3778409664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7293203517600).

3778409664000 is an abundant number, since it is smaller than the sum of its proper divisors (10807997371200).

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

3778409664000 is a wasteful number, since it uses less digits than its factorization.

3778409664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788 (or 4759 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 3778409664000 in words is "three trillion, seven hundred seventy-eight billion, four hundred nine million, six hundred sixty-four thousand".