3840000768000 has 576 divisors, whose sum is σ = 14135992940160. Its totient is φ = 1002184704000.

The previous prime is 3840000767971. The next prime is 3840000768007. The reversal of 3840000768000 is 8670000483.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840000768007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108270270 + ... + 108305730.

It is an arithmetic number, because the mean of its divisors is an integer number (24541654410).

Almost surely, 2^{3840000768000} is an apocalyptic number.

3840000768000 is a gapful number since it is divisible by the number (30) 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 3840000768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7067996470080).

3840000768000 is an abundant number, since it is smaller than the sum of its proper divisors (10295992172160).

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

3840000768000 is a wasteful number, since it uses less digits than its factorization.

3840000768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35551 (or 35518 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 3840000768000 its reverse (8670000483), we get a palindrome (3848670768483).

The spelling of 3840000768000 in words is "three trillion, eight hundred forty billion, seven hundred sixty-eight thousand".