3977562371328 has 2160 divisors, whose sum is σ = 15631272518400. Its totient is φ = 996100374528.

The previous prime is 3977562371327. The next prime is 3977562371399. The reversal of 3977562371328 is 8231732657793.

3977562371328 is a `hidden beast` number, since 3 + 9 + 7 + 7 + 562 + 37 + 1 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (80015040) is a multiple of the sum of its prime factors (294).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3977562371323) 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 239 ways as a sum of consecutive naturals, for example, 26695049398 + ... + 26695049546.

It is an arithmetic number, because the mean of its divisors is an integer number (7236700240).

Almost surely, 2^{3977562371328} 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 3977562371328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7815636259200).

3977562371328 is an abundant number, since it is smaller than the sum of its proper divisors (11653710147072).

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

3977562371328 is a wasteful number, since it uses less digits than its factorization.

3977562371328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 264 counting only the distinct ones).

The product of its digits is 80015040, while the sum is 63.

The spelling of 3977562371328 in words is "three trillion, nine hundred seventy-seven billion, five hundred sixty-two million, three hundred seventy-one thousand, three hundred twenty-eight".