36283104 has 144 divisors (see below), whose sum is σ = 121356144. Its totient is φ = 10137600.

The previous prime is 36283097. The next prime is 36283123. The reversal of 36283104 is 40138263.

It is a happy number.

36283104 is a `hidden beast` number, since 3 + 628 + 31 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40744 + ... + 41624.

It is an arithmetic number, because the mean of its divisors is an integer number (842751).

Almost surely, 2^36283104 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 36283104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60678072).

36283104 is an abundant number, since it is smaller than the sum of its proper divisors (85073040).

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

36283104 is a wasteful number, since it uses less digits than its factorization.

36283104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36283104 is about 6023.5457996101. The cubic root of 36283104 is about 331.0560110640.

The spelling of 36283104 in words is "thirty-six million, two hundred eighty-three thousand, one hundred four".