3977541504 has 64 divisors (see below), whose sum is σ = 11739282000. Its totient is φ = 1325846016.

The previous prime is 3977541479. The next prime is 3977541517. The reversal of 3977541504 is 4051457793.

3977541504 is a `hidden beast` number, since 3 + 97 + 7 + 54 + 1 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 3977541504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571999 + ... + 578910.

Almost surely, 2^3977541504 is an apocalyptic number.

It is an amenable number.

3977541504 is an abundant number, since it is smaller than the sum of its proper divisors (7761740496).

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

3977541504 is a wasteful number, since it uses less digits than its factorization.

3977541504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150932 (or 1150914 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 3977541504 is about 63067.7532816891. The cubic root of 3977541504 is about 1584.4245877411.

The spelling of 3977541504 in words is "three billion, nine hundred seventy-seven million, five hundred forty-one thousand, five hundred four".