3778191943680 has 768 divisors, whose sum is σ = 15094298419200. Its totient is φ = 783805317120.

The previous prime is 3778191943613. The next prime is 3778191943703. The reversal of 3778191943680 is 863491918773.

3778191943680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2386728169 + ... + 2386729751.

It is an arithmetic number, because the mean of its divisors is an integer number (19654034400).

Almost surely, 2^{3778191943680} is an apocalyptic number.

3778191943680 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 3778191943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547149209600).

3778191943680 is an abundant number, since it is smaller than the sum of its proper divisors (11316106475520).

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

3778191943680 is a wasteful number, since it uses less digits than its factorization.

3778191943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 66.

The spelling of 3778191943680 in words is "three trillion, seven hundred seventy-eight billion, one hundred ninety-one million, nine hundred forty-three thousand, six hundred eighty".