3973148667 has 12 divisors (see below), whose sum is σ = 5763008160. Its totient is φ = 2637681648.

The previous prime is 3973148651. The next prime is 3973148681. The reversal of 3973148667 is 7668413793.

3973148667 is a `hidden beast` number, since 39 + 73 + 1 + 486 + 67 = 666.

It is not a de Polignac number, because 3973148667 - 2⁴ = 3973148651 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3973148687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 921408 + ... + 925709.

It is an arithmetic number, because the mean of its divisors is an integer number (480250680).

Almost surely, 2^3973148667 is an apocalyptic number.

3973148667 is a deficient number, since it is larger than the sum of its proper divisors (1789859493).

3973148667 is a wasteful number, since it uses less digits than its factorization.

3973148667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847362 (or 1847359 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 3973148667 is about 63032.9173289639. The cubic root of 3973148667 is about 1583.8410880429.

The spelling of 3973148667 in words is "three billion, nine hundred seventy-three million, one hundred forty-eight thousand, six hundred sixty-seven".