36409626 has 72 divisors (see below), whose sum is σ = 88282740. Its totient is φ = 10834560.

The previous prime is 36409613. The next prime is 36409627. The reversal of 36409626 is 62690463.

36409626 is a `hidden beast` number, since 3 + 640 + 9 + 6 + 2 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33350625 + 3059001 = 5775^2 + 1749^2 .

It is not an unprimeable number, because it can be changed into a prime (36409627) 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 35 ways as a sum of consecutive naturals, for example, 158880 + ... + 159108.

Almost surely, 2^36409626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36409626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44141370).

36409626 is an abundant number, since it is smaller than the sum of its proper divisors (51873114).

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

36409626 is a wasteful number, since it uses less digits than its factorization.

36409626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 36409626 is about 6034.0389458471. The cubic root of 36409626 is about 331.4403706482.

The spelling of 36409626 in words is "thirty-six million, four hundred nine thousand, six hundred twenty-six".