3972377904768 has 1728 divisors, whose sum is σ = 15565145450400. Its totient is φ = 999465578496.

The previous prime is 3972377904767. The next prime is 3972377904797. The reversal of 3972377904768 is 8674097732793.

It is a happy number.

3972377904768 is a `hidden beast` number, since 3 + 9 + 72 + 377 + 90 + 47 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3972377904696 and 3972377904705.

It is not an unprimeable number, because it can be changed into a prime (3972377904767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 10481208003 + ... + 10481208381.

Almost surely, 2^{3972377904768} 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 3972377904768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7782572725200).

3972377904768 is an abundant number, since it is smaller than the sum of its proper divisors (11592767545632).

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

3972377904768 is a wasteful number, since it uses less digits than its factorization.

3972377904768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 672126336, while the sum is 72.

The spelling of 3972377904768 in words is "three trillion, nine hundred seventy-two billion, three hundred seventy-seven million, nine hundred four thousand, seven hundred sixty-eight".