36338100 has 72 divisors (see below), whose sum is σ = 106972320. Its totient is φ = 9521280.

The previous prime is 36338087. The next prime is 36338101. The reversal of 36338100 is 183363.

36338100 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-2 number, since 2×36338100² = 2640915023220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36338101) 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 23 ways as a sum of consecutive naturals, for example, 16674 + ... + 18726.

Almost surely, 2^36338100 is an apocalyptic number.

36338100 is a gapful number since it is divisible by the number (30) 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 36338100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53486160).

36338100 is an abundant number, since it is smaller than the sum of its proper divisors (70634220).

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

36338100 is a wasteful number, since it uses less digits than its factorization.

36338100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 36338100 is about 6028.1091562778. The cubic root of 36338100 is about 331.2231923244.

The spelling of 36338100 in words is "thirty-six million, three hundred thirty-eight thousand, one hundred".