3896878512384 has 1296 divisors, whose sum is σ = 14221109919744. Its totient is φ = 1053903052800.

The previous prime is 3896878512383. The next prime is 3896878512389. The reversal of 3896878512384 is 4832158786983.

3896878512384 is a `hidden beast` number, since 3 + 8 + 9 + 6 + 8 + 78 + 512 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3896878512383) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3584984289 + ... + 3584985375.

Almost surely, 2^{3896878512384} 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 3896878512384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110554959872).

3896878512384 is an abundant number, since it is smaller than the sum of its proper divisors (10324231407360).

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

3896878512384 is a wasteful number, since it uses less digits than its factorization.

3896878512384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1147 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 3896878512384 in words is "three trillion, eight hundred ninety-six billion, eight hundred seventy-eight million, five hundred twelve thousand, three hundred eighty-four".