3973542768 has 60 divisors (see below), whose sum is σ = 11975822040. Its totient is φ = 1222627968.

The previous prime is 3973542763. The next prime is 3973542773. The reversal of 3973542768 is 8672453793.

3973542768 is a `hidden beast` number, since 3 + 97 + 3 + 542 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3973542763) and next prime (3973542773).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3973542763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1059438 + ... + 1063181.

It is an arithmetic number, because the mean of its divisors is an integer number (199597034).

Almost surely, 2^3973542768 is an apocalyptic number.

It is an amenable number.

3973542768 is an abundant number, since it is smaller than the sum of its proper divisors (8002279272).

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

3973542768 is a wasteful number, since it uses less digits than its factorization.

3973542768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122646 (or 2122637 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 3973542768 is about 63036.0434037543. The cubic root of 3973542768 is about 1583.8934539599.

The spelling of 3973542768 in words is "three billion, nine hundred seventy-three million, five hundred forty-two thousand, seven hundred sixty-eight".