37638361 has 8 divisors (see below), whose sum is σ = 38789640. Its totient is φ = 36494208.

The previous prime is 37638347. The next prime is 37638397. The reversal of 37638361 is 16383673.

37638361 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 5148361 + 32490000 = 2269^2 + 5700^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 37638361 - 2⁵ = 37638329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 37638361.

It is not an unprimeable number, because it can be changed into a prime (37638301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10125 + ... + 13333.

It is an arithmetic number, because the mean of its divisors is an integer number (4848705).

Almost surely, 2^37638361 is an apocalyptic number.

It is an amenable number.

37638361 is a deficient number, since it is larger than the sum of its proper divisors (1151279).

37638361 is a wasteful number, since it uses less digits than its factorization.

37638361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563.

The product of its digits is 54432, while the sum is 37.

The square root of 37638361 is about 6135.0110839346. The cubic root of 37638361 is about 335.1276293969.

The spelling of 37638361 in words is "thirty-seven million, six hundred thirty-eight thousand, three hundred sixty-one".