37228882273 has 24 divisors (see below), whose sum is σ = 41826905064. Its totient is φ = 33099306240.

The previous prime is 37228882261. The next prime is 37228882291.

37228882273 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 371409984 + 36857472289 = 19272^2 + 191983^2 .

It is not a de Polignac number, because 37228882273 - 2⁵ = 37228882241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37228882273.

It is not an unprimeable number, because it can be changed into a prime (37228882073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2023765 + ... + 2042077.

It is an arithmetic number, because the mean of its divisors is an integer number (1742787711).

Almost surely, 2^37228882273 is an apocalyptic number.

It is an amenable number.

37228882273 is a deficient number, since it is larger than the sum of its proper divisors (4598022791).

37228882273 is a wasteful number, since it uses less digits than its factorization.

37228882273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18705 (or 18694 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 52.

The spelling of 37228882273 in words is "thirty-seven billion, two hundred twenty-eight million, eight hundred eighty-two thousand, two hundred seventy-three".