36038058 has 64 divisors (see below), whose sum is σ = 86261760. Its totient is φ = 9820800.

The previous prime is 36038053. The next prime is 36038059. The reversal of 36038058 is 85083063.

36038058 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×36038058³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (36038053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115723 + ... + 116033.

It is an arithmetic number, because the mean of its divisors is an integer number (1347840).

Almost surely, 2^36038058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36038058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43130880).

36038058 is an abundant number, since it is smaller than the sum of its proper divisors (50223702).

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

36038058 is a wasteful number, since it uses less digits than its factorization.

36038058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 36038058 is about 6003.1706622417. The cubic root of 36038058 is about 330.3090401583.

Adding to 36038058 its reverse (85083063), we get a palindrome (121121121).

The spelling of 36038058 in words is "thirty-six million, thirty-eight thousand, fifty-eight".