3894591840480 has 768 divisors, whose sum is σ = 15670145433600. Its totient is φ = 893466961920.

The previous prime is 3894591840397. The next prime is 3894591840487. The reversal of 3894591840480 is 840481954983.

3894591840480 is a `hidden beast` number, since 3 + 8 + 94 + 59 + 18 + 4 + 0 + 480 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3894591840487) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1104220477 + ... + 1104224003.

It is an arithmetic number, because the mean of its divisors is an integer number (20403835200).

Almost surely, 2^{3894591840480} is an apocalyptic number.

3894591840480 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 3894591840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7835072716800).

3894591840480 is an abundant number, since it is smaller than the sum of its proper divisors (11775553593120).

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

3894591840480 is a wasteful number, since it uses less digits than its factorization.

3894591840480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 3894591840480 in words is "three trillion, eight hundred ninety-four billion, five hundred ninety-one million, eight hundred forty thousand, four hundred eighty".