3864463072064 has 224 divisors, whose sum is σ = 9189664014336. Its totient is φ = 1576490065920.

The previous prime is 3864463072051. The next prime is 3864463072091. The reversal of 3864463072064 is 4602703644683.

It is a happy number.

3864463072064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3864463071997 and 3864463072015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3441195407 + ... + 3441196529.

Almost surely, 2^{3864463072064} 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 3864463072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594832007168).

3864463072064 is an abundant number, since it is smaller than the sum of its proper divisors (5325200942272).

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

3864463072064 is a wasteful number, since it uses less digits than its factorization.

3864463072064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 53.

The spelling of 3864463072064 in words is "three trillion, eight hundred sixty-four billion, four hundred sixty-three million, seventy-two thousand, sixty-four".