37661536 has 24 divisors (see below), whose sum is σ = 80887464. Its totient is φ = 17118720.

The previous prime is 37661531. The next prime is 37661537. The reversal of 37661536 is 63516673.

37661536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 37661495 and 37661504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37661531) 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 3 ways as a sum of consecutive naturals, for example, 53145 + ... + 53848.

It is an arithmetic number, because the mean of its divisors is an integer number (3370311).

Almost surely, 2^37661536 is an apocalyptic number.

It is an amenable number.

37661536 is an abundant number, since it is smaller than the sum of its proper divisors (43225928).

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

37661536 is a wasteful number, since it uses less digits than its factorization.

37661536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107014 (or 107006 counting only the distinct ones).

The product of its digits is 68040, while the sum is 37.

The square root of 37661536 is about 6136.8995429288. The cubic root of 37661536 is about 335.1963977945.

The spelling of 37661536 in words is "thirty-seven million, six hundred sixty-one thousand, five hundred thirty-six".