36321408 has 96 divisors (see below), whose sum is σ = 107207100. Its totient is φ = 11796480.

The previous prime is 36321391. The next prime is 36321409. The reversal of 36321408 is 80412363.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 32353344 + 3968064 = 5688^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36321409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46848 + ... + 47616.

Almost surely, 2^36321408 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 36321408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53603550).

36321408 is an abundant number, since it is smaller than the sum of its proper divisors (70885692).

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

36321408 is a wasteful number, since it uses less digits than its factorization.

36321408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36321408 is about 6026.7244834985. The cubic root of 36321408 is about 331.1724684809.

The spelling of 36321408 in words is "thirty-six million, three hundred twenty-one thousand, four hundred eight".