3892731408384 has 416 divisors, whose sum is σ = 12811489367040. Its totient is φ = 1023689097216.

The previous prime is 3892731408361. The next prime is 3892731408389. The reversal of 3892731408384 is 4838041372983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3892731408389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401431824 + ... + 401441520.

It is an arithmetic number, because the mean of its divisors is an integer number (30796849440).

Almost surely, 2^{3892731408384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3892731408384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6405744683520).

3892731408384 is an abundant number, since it is smaller than the sum of its proper divisors (8918757958656).

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

3892731408384 is a wasteful number, since it uses less digits than its factorization.

3892731408384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10103 (or 10081 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 3892731408384 in words is "three trillion, eight hundred ninety-two billion, seven hundred thirty-one million, four hundred eight thousand, three hundred eighty-four".