36338016 has 96 divisors (see below), whose sum is σ = 112105728. Its totient is φ = 10160640.

The previous prime is 36338011. The next prime is 36338021. The reversal of 36338016 is 61083363.

It is an interprime number because it is at equal distance from previous prime (36338011) and next prime (36338021).

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36338011) 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 15 ways as a sum of consecutive naturals, for example, 12405 + ... + 15051.

It is an arithmetic number, because the mean of its divisors is an integer number (1167768).

Almost surely, 2^36338016 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 36338016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56052864).

36338016 is an abundant number, since it is smaller than the sum of its proper divisors (75767712).

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

36338016 is a wasteful number, since it uses less digits than its factorization.

36338016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2676 counting only the distinct ones).

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

The square root of 36338016 is about 6028.1021889148. The cubic root of 36338016 is about 331.2229371031. Note that the first 3 decimals are identical.

The spelling of 36338016 in words is "thirty-six million, three hundred thirty-eight thousand, sixteen".