3972384768 has 192 divisors, whose sum is σ = 11781806400. Its totient is φ = 1179975680.

The previous prime is 3972384743. The next prime is 3972384769. The reversal of 3972384768 is 8674832793.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (3972384769) 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, 3581398 + ... + 3582506.

It is an arithmetic number, because the mean of its divisors is an integer number (61363575).

Almost surely, 2^3972384768 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 3972384768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5890903200).

3972384768 is an abundant number, since it is smaller than the sum of its proper divisors (7809421632).

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

3972384768 is a wasteful number, since it uses less digits than its factorization.

3972384768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1178 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 57.

The square root of 3972384768 is about 63026.8575132856. The cubic root of 3972384768 is about 1583.7395755924.

The spelling of 3972384768 in words is "three billion, nine hundred seventy-two million, three hundred eighty-four thousand, seven hundred sixty-eight".