3968553141 has 24 divisors (see below), whose sum is σ = 6728327424. Its totient is φ = 2206452960.

The previous prime is 3968553109. The next prime is 3968553157. The reversal of 3968553141 is 1413558693.

3968553141 is a `hidden beast` number, since 3 + 96 + 8 + 553 + 1 + 4 + 1 = 666.

3968553141 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 not a de Polignac number, because 3968553141 - 2⁵ = 3968553109 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968553191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 848925 + ... + 853586.

It is an arithmetic number, because the mean of its divisors is an integer number (280346976).

Almost surely, 2^3968553141 is an apocalyptic number.

It is an amenable number.

3968553141 is a deficient number, since it is larger than the sum of its proper divisors (2759774283).

3968553141 is a wasteful number, since it uses less digits than its factorization.

3968553141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702561 (or 1702558 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 3968553141 is about 62996.4534001717. The cubic root of 3968553141 is about 1583.2302047056.

The spelling of 3968553141 in words is "three billion, nine hundred sixty-eight million, five hundred fifty-three thousand, one hundred forty-one".