3864456448344 has 48 divisors (see below), whose sum is σ = 10466326933920. Its totient is φ = 1288140984000.

The previous prime is 3864456448343. The next prime is 3864456448357. The reversal of 3864456448344 is 4438446544683.

3864456448344 is a `hidden beast` number, since 3 + 8 + 64 + 4 + 56 + 4 + 483 + 44 = 666.

It is a super-2 number, since 2×3864456448344² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3864456448343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15117594 + ... + 15371094.

It is an arithmetic number, because the mean of its divisors is an integer number (218048477790).

Almost surely, 2^{3864456448344} is an apocalyptic number.

It is an amenable number.

3864456448344 is an abundant number, since it is smaller than the sum of its proper divisors (6601870485576).

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

3864456448344 is a wasteful number, since it uses less digits than its factorization.

3864456448344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465240 (or 465233 counting only the distinct ones).

The product of its digits is 424673280, while the sum is 63.

The spelling of 3864456448344 in words is "three trillion, eight hundred sixty-four billion, four hundred fifty-six million, four hundred forty-eight thousand, three hundred forty-four".