3973745291 has 32 divisors (see below), whose sum is σ = 4528373760. Its totient is φ = 3464487936.

The previous prime is 3973745249. The next prime is 3973745299. The reversal of 3973745291 is 1925473793.

It is not a de Polignac number, because 3973745291 - 2¹⁸ = 3973483147 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3973745299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2993870 + ... + 2995196.

It is an arithmetic number, because the mean of its divisors is an integer number (141511680).

Almost surely, 2^3973745291 is an apocalyptic number.

3973745291 is a deficient number, since it is larger than the sum of its proper divisors (554628469).

3973745291 is a wasteful number, since it uses less digits than its factorization.

3973745291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563.

The product of its digits is 1428840, while the sum is 50.

The square root of 3973745291 is about 63037.6497896297. The cubic root of 3973745291 is about 1583.9203627264.

The spelling of 3973745291 in words is "three billion, nine hundred seventy-three million, seven hundred forty-five thousand, two hundred ninety-one".