3977261568 has 320 divisors, whose sum is σ = 14047672320. Its totient is φ = 1086345216.

The previous prime is 3977261543. The next prime is 3977261573. The reversal of 3977261568 is 8651627793.

3977261568 is a `hidden beast` number, since 3 + 9 + 7 + 72 + 6 + 1 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2224771 + ... + 2226557.

It is an arithmetic number, because the mean of its divisors is an integer number (43898976).

Almost surely, 2^3977261568 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 3977261568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7023836160).

3977261568 is an abundant number, since it is smaller than the sum of its proper divisors (10070410752).

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

3977261568 is a wasteful number, since it uses less digits than its factorization.

3977261568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1822 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 3977261568 is about 63065.5339151267. The cubic root of 3977261568 is about 1584.3874167158.

The spelling of 3977261568 in words is "three billion, nine hundred seventy-seven million, two hundred sixty-one thousand, five hundred sixty-eight".