36042336 has 144 divisors (see below), whose sum is σ = 115734528. Its totient is φ = 10540800.

The previous prime is 36042323. The next prime is 36042353. The reversal of 36042336 is 63324063.

36042336 is a `hidden beast` number, since 3 + 604 + 23 + 36 = 666.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 98025 + ... + 98391.

It is an arithmetic number, because the mean of its divisors is an integer number (803712).

Almost surely, 2^36042336 is an apocalyptic number.

36042336 is a gapful number since it is divisible by the number (36) 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 36042336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57867264).

36042336 is an abundant number, since it is smaller than the sum of its proper divisors (79692192).

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

36042336 is a wasteful number, since it uses less digits than its factorization.

36042336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 36042336 is about 6003.5269633774. The cubic root of 36042336 is about 330.3221097320.

Adding to 36042336 its reverse (63324063), we get a palindrome (99366399).

The spelling of 36042336 in words is "thirty-six million, forty-two thousand, three hundred thirty-six".