36609408 has 192 divisors, whose sum is σ = 120294720. Its totient is φ = 10990080.

The previous prime is 36609407. The next prime is 36609413. The reversal of 36609408 is 80490663.

36609408 is a `hidden beast` number, since 3 + 6 + 609 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×36609408² = 2680497508220928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36609407) 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 23 ways as a sum of consecutive naturals, for example, 342091 + ... + 342197.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 2^36609408 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 36609408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60147360).

36609408 is an abundant number, since it is smaller than the sum of its proper divisors (83685312).

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

36609408 is a wasteful number, since it uses less digits than its factorization.

36609408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 36609408 is about 6050.5708821565. The cubic root of 36609408 is about 332.0454769077.

Subtracting from 36609408 its product of nonzero digits (31104), we obtain a square (36578304 = 6048²).

The spelling of 36609408 in words is "thirty-six million, six hundred nine thousand, four hundred eight".