3972120768 has 672 divisors, whose sum is σ = 15337340928. Its totient is φ = 989107200.

The previous prime is 3972120767. The next prime is 3972120793. The reversal of 3972120768 is 8670212793.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (3972120767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37122571 + ... + 37122677.

It is an arithmetic number, because the mean of its divisors is an integer number (22823424).

Almost surely, 2^3972120768 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 3972120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7668670464).

3972120768 is an abundant number, since it is smaller than the sum of its proper divisors (11365220160).

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

3972120768 is a wasteful number, since it uses less digits than its factorization.

3972120768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 3972120768 is about 63024.7631332320. The cubic root of 3972120768 is about 1583.7044903279.

The spelling of 3972120768 in words is "three billion, nine hundred seventy-two million, one hundred twenty thousand, seven hundred sixty-eight".