37200838364001 has 81 divisors (see below), whose sum is σ = 59586940159929. Its totient is φ = 22354284318912.

The previous prime is 37200838363957. The next prime is 37200838364003. The reversal of 37200838364001 is 10046383800273.

The square root of 37200838364001 is 6099249.

It is a perfect power (a square), and thus also a powerful number.

37200838364001 is a `hidden beast` number, since 3 + 7 + 200 + 8 + 3 + 8 + 36 + 400 + 1 = 666.

37200838364001 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 26733542861601 + 10467295502400 = 5170449^2 + 3235320^2 .

It is not a de Polignac number, because 37200838364001 - 2³⁹ = 36651082550113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37200838364003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10228438755 + ... + 10228442391.

Almost surely, 2^{37200838364001} is an apocalyptic number.

37200838364001 is the 6099249-th square number.

37200838364001 is the 3049625-th centered octagonal number.

It is an amenable number.

37200838364001 is a deficient number, since it is larger than the sum of its proper divisors (22386101795928).

37200838364001 is an frugal number, since it uses more digits than its factorization.

37200838364001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7392 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 37200838364001 in words is "thirty-seven trillion, two hundred billion, eight hundred thirty-eight million, three hundred sixty-four thousand, one".