36937368 has 192 divisors, whose sum is σ = 118809600. Its totient is φ = 10264320.

The previous prime is 36937361. The next prime is 36937393. The reversal of 36937368 is 86373963.

It is a happy number.

36937368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36937361) 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 47 ways as a sum of consecutive naturals, for example, 551271 + ... + 551337.

It is an arithmetic number, because the mean of its divisors is an integer number (618800).

Almost surely, 2^36937368 is an apocalyptic number.

36937368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36937368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59404800).

36937368 is an abundant number, since it is smaller than the sum of its proper divisors (81872232).

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

36937368 is a wasteful number, since it uses less digits than its factorization.

36937368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 135 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 36937368 is about 6077.6120310530. The cubic root of 36937368 is about 333.0340576048.

The spelling of 36937368 in words is "thirty-six million, nine hundred thirty-seven thousand, three hundred sixty-eight".