36404208 has 80 divisors (see below), whose sum is σ = 110662560. Its totient is φ = 11418624.

The previous prime is 36404201. The next prime is 36404219. The reversal of 36404208 is 80240463.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36404201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4866 + ... + 9822.

It is an arithmetic number, because the mean of its divisors is an integer number (1383282).

Almost surely, 2^36404208 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 36404208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55331280).

36404208 is an abundant number, since it is smaller than the sum of its proper divisors (74258352).

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

36404208 is a wasteful number, since it uses less digits than its factorization.

36404208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4991 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 36404208 is about 6033.5899761253. The cubic root of 36404208 is about 331.4239296389.

The spelling of 36404208 in words is "thirty-six million, four hundred four thousand, two hundred eight".