3864723451744 has 96 divisors (see below), whose sum is σ = 8083692673056. Its totient is φ = 1812501626880.

The previous prime is 3864723451741. The next prime is 3864723451751. The reversal of 3864723451744 is 4471543274683.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3864723451741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 749992272 + ... + 749997424.

It is an arithmetic number, because the mean of its divisors is an integer number (84205132011).

Almost surely, 2^{3864723451744} is an apocalyptic number.

3864723451744 is a gapful number since it is divisible by the number (34) 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 3864723451744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041846336528).

3864723451744 is an abundant number, since it is smaller than the sum of its proper divisors (4218969221312).

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

3864723451744 is a wasteful number, since it uses less digits than its factorization.

3864723451744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9608 (or 9600 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 58.

The spelling of 3864723451744 in words is "three trillion, eight hundred sixty-four billion, seven hundred twenty-three million, four hundred fifty-one thousand, seven hundred forty-four".