36810336 has 96 divisors (see below), whose sum is σ = 100759680. Its totient is φ = 11759616.

The previous prime is 36810313. The next prime is 36810349. The reversal of 36810336 is 63301863.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 379440 + ... + 379536.

It is an arithmetic number, because the mean of its divisors is an integer number (1049580).

Almost surely, 2^36810336 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 36810336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50379840).

36810336 is an abundant number, since it is smaller than the sum of its proper divisors (63949344).

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

36810336 is a wasteful number, since it uses less digits than its factorization.

36810336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 36810336 is about 6067.1522150017. The cubic root of 36810336 is about 332.6518378635.

The spelling of 36810336 in words is "thirty-six million, eight hundred ten thousand, three hundred thirty-six".