3791875820041 has 8 divisors (see below), whose sum is σ = 3802692601224. Its totient is φ = 3781062520320.

The previous prime is 3791875820011. The next prime is 3791875820081. The reversal of 3791875820041 is 1400285781973.

3791875820041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 296393136400 + 3495482683641 = 544420^2 + 1869621^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3791875820041 - 2²³ = 3791867431433 is a prime.

It is a super-2 number, since 2×3791875820041² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3791875820011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1318905 + ... + 3053401.

It is an arithmetic number, because the mean of its divisors is an integer number (475336575153).

Almost surely, 2^{3791875820041} is an apocalyptic number.

It is an amenable number.

3791875820041 is a deficient number, since it is larger than the sum of its proper divisors (10816781183).

3791875820041 is a wasteful number, since it uses less digits than its factorization.

3791875820041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740731.

The product of its (nonzero) digits is 3386880, while the sum is 55.

The spelling of 3791875820041 in words is "three trillion, seven hundred ninety-one billion, eight hundred seventy-five million, eight hundred twenty thousand, forty-one".