3973273958049 has 64 divisors (see below), whose sum is σ = 6022487285760. Its totient is φ = 2308212288000.

The previous prime is 3973273958023. The next prime is 3973273958107. The reversal of 3973273958049 is 9408593723793.

3973273958049 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3973273958049 - 2⁹ = 3973273957537 is a prime.

It is a super-2 number, since 2×3973273958049² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3973273958149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 639712554 + ... + 639718764.

It is an arithmetic number, because the mean of its divisors is an integer number (94101363840).

Almost surely, 2^{3973273958049} is an apocalyptic number.

It is an amenable number.

3973273958049 is a deficient number, since it is larger than the sum of its proper divisors (2049213327711).

3973273958049 is a wasteful number, since it uses less digits than its factorization.

3973273958049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12102.

The product of its (nonzero) digits is 308629440, while the sum is 69.

The spelling of 3973273958049 in words is "three trillion, nine hundred seventy-three billion, two hundred seventy-three million, nine hundred fifty-eight thousand, forty-nine".