3735786875373 has 36 divisors (see below), whose sum is σ = 6380042446908. Its totient is φ = 2099739680640.

The previous prime is 3735786875323. The next prime is 3735786875411.

It is a happy number.

3735786875373 is a `hidden beast` number, since 3 + 7 + 3 + 5 + 7 + 8 + 6 + 87 + 537 + 3 = 666.

3735786875373 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 189201510729 + 3546585364644 = 434973^2 + 1883238^2 .

It is not a de Polignac number, because 3735786875373 - 2³⁰ = 3734713133549 is a prime.

It is a super-2 number, since 2×3735786875373² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3735786875323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69408936 + ... + 69462737.

It is an arithmetic number, because the mean of its divisors is an integer number (177223401303).

Almost surely, 2^{3735786875373} is an apocalyptic number.

It is an amenable number.

3735786875373 is a deficient number, since it is larger than the sum of its proper divisors (2644255571535).

3735786875373 is a wasteful number, since it uses less digits than its factorization.

3735786875373 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138871754 (or 138871744 counting only the distinct ones).

The product of its digits is 1867017600, while the sum is 72.

The spelling of 3735786875373 in words is "three trillion, seven hundred thirty-five billion, seven hundred eighty-six million, eight hundred seventy-five thousand, three hundred seventy-three".