3977386056 has 288 divisors, whose sum is σ = 13265441280. Its totient is φ = 1071705600.

The previous prime is 3977386031. The next prime is 3977386099. The reversal of 3977386056 is 6506837793.

It is a junction number, because it is equal to n+sod(n) for n = 3977385993 and 3977386011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4483645 + ... + 4484531.

It is an arithmetic number, because the mean of its divisors is an integer number (46060560).

Almost surely, 2^3977386056 is an apocalyptic number.

3977386056 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 3977386056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632720640).

3977386056 is an abundant number, since it is smaller than the sum of its proper divisors (9288055224).

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

3977386056 is a wasteful number, since it uses less digits than its factorization.

3977386056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 3977386056 is about 63066.5208807335. The cubic root of 3977386056 is about 1584.4039469473.

The spelling of 3977386056 in words is "three billion, nine hundred seventy-seven million, three hundred eighty-six thousand, fifty-six".