37965944956973 has 16 divisors (see below), whose sum is σ = 41511063323520. Its totient is φ = 34436449132800.

The previous prime is 37965944956943. The next prime is 37965944956981.

37965944956973 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 37965944956973 - 2¹⁰ = 37965944955949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37965944956943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70153688 + ... + 70692798.

It is an arithmetic number, because the mean of its divisors is an integer number (2594441457720).

Almost surely, 2^{37965944956973} is an apocalyptic number.

It is an amenable number.

37965944956973 is a deficient number, since it is larger than the sum of its proper divisors (3545118366547).

37965944956973 is a wasteful number, since it uses less digits than its factorization.

37965944956973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553588.

The product of its digits is 41664974400, while the sum is 86.

The spelling of 37965944956973 in words is "thirty-seven trillion, nine hundred sixty-five billion, nine hundred forty-four million, nine hundred fifty-six thousand, nine hundred seventy-three".