36334144 has 112 divisors (see below), whose sum is σ = 92025216. Its totient is φ = 13824000.

The previous prime is 36334141. The next prime is 36334153. The reversal of 36334144 is 44143363.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (36334141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359694 + ... + 359794.

Almost surely, 2^36334144 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 36334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46012608).

36334144 is an abundant number, since it is smaller than the sum of its proper divisors (55691072).

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

36334144 is a wasteful number, since it uses less digits than its factorization.

36334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its digits is 10368, while the sum is 28.

The square root of 36334144 is about 6027.7810179203. The cubic root of 36334144 is about 331.2111721904.

It can be divided in two parts, 3633 and 4144, that added together give a palindrome (7777).

The spelling of 36334144 in words is "thirty-six million, three hundred thirty-four thousand, one hundred forty-four".