37418112 has 112 divisors (see below), whose sum is σ = 112043430. Its totient is φ = 12441600.

The previous prime is 37418077. The next prime is 37418119. The reversal of 37418112 is 21181473.

It can be written as a sum of positive squares in only one way, i.e., 20575296 + 16842816 = 4536^2 + 4104^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (37418119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 93112 + ... + 93512.

Almost surely, 2^37418112 is an apocalyptic number.

37418112 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 37418112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56021715).

37418112 is an abundant number, since it is smaller than the sum of its proper divisors (74625318).

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

37418112 is an frugal number, since it uses more digits than its factorization.

37418112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 406 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 37418112 is about 6117.0345756747. The cubic root of 37418112 is about 334.4726595925.

Adding to 37418112 its reverse (21181473), we get a palindrome (58599585).

The spelling of 37418112 in words is "thirty-seven million, four hundred eighteen thousand, one hundred twelve".