36538304 has 112 divisors (see below), whose sum is σ = 86904576. Its totient is φ = 15052800.

The previous prime is 36538303. The next prime is 36538309. The reversal of 36538304 is 40383563.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36538301) 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, 514589 + ... + 514659.

Almost surely, 2^36538304 is an apocalyptic number.

36538304 is a gapful number since it is divisible by the number (34) 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 36538304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43452288).

36538304 is an abundant number, since it is smaller than the sum of its proper divisors (50366272).

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

36538304 is a wasteful number, since it uses less digits than its factorization.

36538304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 36538304 is about 6044.6922171439. The cubic root of 36538304 is about 331.8303676902.

The spelling of 36538304 in words is "thirty-six million, five hundred thirty-eight thousand, three hundred four".