3778213908096 has 1024 divisors, whose sum is σ = 12382424640000. Its totient is φ = 1129896345600.

The previous prime is 3778213908047. The next prime is 3778213908097. The reversal of 3778213908096 is 6908093128773.

3778213908096 is a `hidden beast` number, since 3 + 7 + 7 + 82 + 1 + 390 + 80 + 96 = 666.

3778213908096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3778213908097) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21839386666 + ... + 21839386838.

Almost surely, 2^{3778213908096} is an apocalyptic number.

3778213908096 is a gapful number since it is divisible by the number (36) 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 3778213908096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191212320000).

3778213908096 is an abundant number, since it is smaller than the sum of its proper divisors (8604210731904).

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

3778213908096 is a wasteful number, since it uses less digits than its factorization.

3778213908096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 3778213908096 in words is "three trillion, seven hundred seventy-eight billion, two hundred thirteen million, nine hundred eight thousand, ninety-six".