37682112 has 112 divisors (see below), whose sum is σ = 111060992. Its totient is φ = 11197440.

The previous prime is 37682093. The next prime is 37682129. The reversal of 37682112 is 21128673.

It is a self number, because there is not a number n which added to its sum of digits gives 37682112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77133 + ... + 77619.

It is an arithmetic number, because the mean of its divisors is an integer number (991616).

Almost surely, 2^37682112 is an apocalyptic number.

37682112 is a gapful number since it is divisible by the number (32) 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 37682112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55530496).

37682112 is an abundant number, since it is smaller than the sum of its proper divisors (73378880).

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

37682112 is a wasteful number, since it uses less digits than its factorization.

37682112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 536 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 37682112 is about 6138.5757305746. The cubic root of 37682112 is about 335.2574304037.

The spelling of 37682112 in words is "thirty-seven million, six hundred eighty-two thousand, one hundred twelve".