37340067040729 has 2 divisors, whose sum is σ = 37340067040730. Its totient is φ = 37340067040728.

The previous prime is 37340067040643. The next prime is 37340067040733. The reversal of 37340067040729 is 92704076004373.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21001615893504 + 16338451147225 = 4582752^2 + 4042085^2 .

It is a cyclic number.

It is not a de Polignac number, because 37340067040729 - 2¹⁷ = 37340066909657 is a prime.

It is a super-2 number, since 2×37340067040729² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (37340067040789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18670033520364 + 18670033520365.

It is an arithmetic number, because the mean of its divisors is an integer number (18670033520365).

Almost surely, 2^{37340067040729} is an apocalyptic number.

It is an amenable number.

37340067040729 is a deficient number, since it is larger than the sum of its proper divisors (1).

37340067040729 is an equidigital number, since it uses as much as digits as its factorization.

37340067040729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5334336, while the sum is 52.

The spelling of 37340067040729 in words is "thirty-seven trillion, three hundred forty billion, sixty-seven million, forty thousand, seven hundred twenty-nine".