36458112 has 96 divisors (see below), whose sum is σ = 102595680. Its totient is φ = 11469312.

The previous prime is 36458111. The next prime is 36458113. The reversal of 36458112 is 21185463.

It is an interprime number because it is at equal distance from previous prime (36458111) and next prime (36458113).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 36458112.

It is not an unprimeable number, because it can be changed into a prime (36458111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138493 + ... + 138755.

It is an arithmetic number, because the mean of its divisors is an integer number (1068705).

Almost surely, 2^36458112 is an apocalyptic number.

36458112 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 36458112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51297840).

36458112 is an abundant number, since it is smaller than the sum of its proper divisors (66137568).

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

36458112 is a wasteful number, since it uses less digits than its factorization.

36458112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 287 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 36458112 is about 6038.0553160765. The cubic root of 36458112 is about 331.5874296487.

The spelling of 36458112 in words is "thirty-six million, four hundred fifty-eight thousand, one hundred twelve".