3789863947296 has 288 divisors, whose sum is σ = 12384317836800. Its totient is φ = 1076915865600.

The previous prime is 3789863947249. The next prime is 3789863947333. The reversal of 3789863947296 is 6927493689873.

3789863947296 is a `hidden beast` number, since 3 + 7 + 89 + 8 + 63 + 9 + 472 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479664946 + ... + 479672846.

It is an arithmetic number, because the mean of its divisors is an integer number (43001103600).

Almost surely, 2^{3789863947296} is an apocalyptic number.

3789863947296 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 3789863947296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6192158918400).

3789863947296 is an abundant number, since it is smaller than the sum of its proper divisors (8594453889504).

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

3789863947296 is a wasteful number, since it uses less digits than its factorization.

3789863947296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9192 (or 9181 counting only the distinct ones).

The product of its digits is 5925685248, while the sum is 81.

The spelling of 3789863947296 in words is "three trillion, seven hundred eighty-nine billion, eight hundred sixty-three million, nine hundred forty-seven thousand, two hundred ninety-six".