37066800341 has 8 divisors (see below), whose sum is σ = 39280210200. Its totient is φ = 34915740160.

The previous prime is 37066800317. The next prime is 37066800371. The reversal of 37066800341 is 14300866073.

37066800341 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 2464900 + 37064335441 = 1570^2 + 192521^2 .

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

It is not a de Polignac number, because 37066800341 - 2²² = 37062606037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 37066800295 and 37066800304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37066800371) 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, 15586196 + ... + 15588573.

It is an arithmetic number, because the mean of its divisors is an integer number (4910026275).

Almost surely, 2^37066800341 is an apocalyptic number.

It is an amenable number.

37066800341 is a deficient number, since it is larger than the sum of its proper divisors (2213409859).

37066800341 is a wasteful number, since it uses less digits than its factorization.

37066800341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31174839.

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 37066800341 in words is "thirty-seven billion, sixty-six million, eight hundred thousand, three hundred forty-one".