36846108 has 72 divisors (see below), whose sum is σ = 101237136. Its totient is φ = 11232000.

The previous prime is 36846101. The next prime is 36846109. The reversal of 36846108 is 80164863.

It is a happy number.

36846108 is a `hidden beast` number, since 36 + 8 + 4 + 610 + 8 = 666.

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 (36846101) 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 23 ways as a sum of consecutive naturals, for example, 61008 + ... + 61608.

Almost surely, 2^36846108 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 36846108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50618568).

36846108 is an abundant number, since it is smaller than the sum of its proper divisors (64391028).

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

36846108 is a wasteful number, since it uses less digits than its factorization.

36846108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 36846108 is about 6070.0995049505. The cubic root of 36846108 is about 332.7595591384.

The spelling of 36846108 in words is "thirty-six million, eight hundred forty-six thousand, one hundred eight".