36746112 has 128 divisors (see below), whose sum is σ = 111555360. Its totient is φ = 10616832.

The previous prime is 36746093. The next prime is 36746137. The reversal of 36746112 is 21164763.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 36746112.

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, 84648 + ... + 85080.

Almost surely, 2^36746112 is an apocalyptic number.

36746112 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 36746112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55777680).

36746112 is an abundant number, since it is smaller than the sum of its proper divisors (74809248).

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

36746112 is a wasteful number, since it uses less digits than its factorization.

36746112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 36746112 is about 6061.8571411738. The cubic root of 36746112 is about 332.4582629881.

The spelling of 36746112 in words is "thirty-six million, seven hundred forty-six thousand, one hundred twelve".