37834528658393 has 2 divisors, whose sum is σ = 37834528658394. Its totient is φ = 37834528658392.

The previous prime is 37834528658383. The next prime is 37834528658449. The reversal of 37834528658393 is 39385682543873.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33501082912144 + 4333445746249 = 5788012^2 + 2081693^2 .

It is a cyclic number.

It is not a de Polignac number, because 37834528658393 - 2⁸ = 37834528658137 is a prime.

It is a super-2 number, since 2×37834528658393² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 37834528658393.

It is not a weakly prime, because it can be changed into another prime (37834528658383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18917264329196 + 18917264329197.

It is an arithmetic number, because the mean of its divisors is an integer number (18917264329197).

Almost surely, 2^{37834528658393} is an apocalyptic number.

It is an amenable number.

37834528658393 is a deficient number, since it is larger than the sum of its proper divisors (1).

37834528658393 is an equidigital number, since it uses as much as digits as its factorization.

37834528658393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3135283200, while the sum is 74.

The spelling of 37834528658393 in words is "thirty-seven trillion, eight hundred thirty-four billion, five hundred twenty-eight million, six hundred fifty-eight thousand, three hundred ninety-three".