3187371073041 has 117 divisors (see below), whose sum is σ = 5003582698233. Its totient is φ = 2030338454040.

The previous prime is 3187371072937. The next prime is 3187371073049. The reversal of 3187371073041 is 1403701737813.

The square root of 3187371073041 is 1785321.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 3187371073041 - 2²⁹ = 3186834202129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3187371073049) by changing a digit.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 40346469240 + ... + 40346469318.

Almost surely, 2^{3187371073041} is an apocalyptic number.

3187371073041 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3187371073041 is the 1785321-st square number.

3187371073041 is the 892661-st centered octagonal number.

It is an amenable number.

3187371073041 is a deficient number, since it is larger than the sum of its proper divisors (1816211625192).

3187371073041 is an frugal number, since it uses more digits than its factorization.

3187371073041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 3187371073041 in words is "three trillion, one hundred eighty-seven billion, three hundred seventy-one million, seventy-three thousand, forty-one".