36408084 has 48 divisors (see below), whose sum is σ = 90393408. Its totient is φ = 11365888.

The previous prime is 36408083. The next prime is 36408089. The reversal of 36408084 is 48080463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36408083) 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, 64387 + ... + 64949.

It is an arithmetic number, because the mean of its divisors is an integer number (1883196).

Almost surely, 2^36408084 is an apocalyptic number.

36408084 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 36408084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45196704).

36408084 is an abundant number, since it is smaller than the sum of its proper divisors (53985324).

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

36408084 is a wasteful number, since it uses less digits than its factorization.

36408084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 36408084 is about 6033.9111693826. The cubic root of 36408084 is about 331.4356915901.

The spelling of 36408084 in words is "thirty-six million, four hundred eight thousand, eighty-four".