3977640576 has 384 divisors, whose sum is σ = 14836348800. Its totient is φ = 993337344.

The previous prime is 3977640497. The next prime is 3977640617. The reversal of 3977640576 is 6750467793.

3977640576 is a `hidden beast` number, since 3 + 9 + 7 + 7 + 64 + 0 + 576 = 666.

3977640576 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3977640576² = 31643249103683223552, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1990810 + ... + 1992806.

It is an arithmetic number, because the mean of its divisors is an integer number (38636325).

Almost surely, 2^3977640576 is an apocalyptic number.

3977640576 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 3977640576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418174400).

3977640576 is an abundant number, since it is smaller than the sum of its proper divisors (10858708224).

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

3977640576 is a wasteful number, since it uses less digits than its factorization.

3977640576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2041 counting only the distinct ones).

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

The square root of 3977640576 is about 63068.5387178108. The cubic root of 3977640576 is about 1584.4377425009.

The spelling of 3977640576 in words is "three billion, nine hundred seventy-seven million, six hundred forty thousand, five hundred seventy-six".