3977324701056 has 192 divisors, whose sum is σ = 13127418139680. Its totient is φ = 1132275400704.

The previous prime is 3977324700983. The next prime is 3977324701073. The reversal of 3977324701056 is 6501074237793.

3977324701056 is a `hidden beast` number, since 3 + 97 + 7 + 32 + 470 + 1 + 0 + 56 = 666.

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

It is a super-2 number, since 2×3977324701056² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3977324700993 and 3977324701011.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1343440 + ... + 3124016.

Almost surely, 2^{3977324701056} is an apocalyptic number.

3977324701056 is a gapful number since it is divisible by the number (36) 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 3977324701056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563709069840).

3977324701056 is an abundant number, since it is smaller than the sum of its proper divisors (9150093438624).

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

3977324701056 is a wasteful number, since it uses less digits than its factorization.

3977324701056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780881 (or 1780866 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 3977324701056 in words is "three trillion, nine hundred seventy-seven billion, three hundred twenty-four million, seven hundred one thousand, fifty-six".