37681344 has 42 divisors (see below), whose sum is σ = 108008420. Its totient is φ = 12560256.

The previous prime is 37681321. The next prime is 37681349. The reversal of 37681344 is 44318673.

37681344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 37681299 and 37681308.

It is not an unprimeable number, because it can be changed into a prime (37681349) 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 5 ways as a sum of consecutive naturals, for example, 32134 + ... + 33285.

Almost surely, 2^37681344 is an apocalyptic number.

It is an amenable number.

37681344 is an abundant number, since it is smaller than the sum of its proper divisors (70327076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37681344 is a wasteful number, since it uses less digits than its factorization.

37681344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65437 (or 65424 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 37681344 is about 6138.5131750286. The cubic root of 37681344 is about 335.2551527584.

It can be divided in two parts, 37681 and 344, that added together give a square (38025 = 195²).

The spelling of 37681344 in words is "thirty-seven million, six hundred eighty-one thousand, three hundred forty-four".