37868112 has 120 divisors (see below), whose sum is σ = 116064000. Its totient is φ = 11473920.

The previous prime is 37868111. The next prime is 37868137. The reversal of 37868112 is 21186873.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37868111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75639 + ... + 76137.

It is an arithmetic number, because the mean of its divisors is an integer number (967200).

Almost surely, 2^37868112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37868112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58032000).

37868112 is an abundant number, since it is smaller than the sum of its proper divisors (78195888).

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

37868112 is a wasteful number, since it uses less digits than its factorization.

37868112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 552 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 37868112 is about 6153.7071753537. The cubic root of 37868112 is about 335.8081387644.

The spelling of 37868112 in words is "thirty-seven million, eight hundred sixty-eight thousand, one hundred twelve".