36409640 has 48 divisors (see below), whose sum is σ = 84486780. Its totient is φ = 14113280.

The previous prime is 36409627. The next prime is 36409651. The reversal of 36409640 is 4690463.

It can be written as a sum of positive squares in 6 ways, for example, as 484 + 36409156 = 22^2 + 6034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36409597 and 36409606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244286 + ... + 244434.

Almost surely, 2^36409640 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 36409640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42243390).

36409640 is an abundant number, since it is smaller than the sum of its proper divisors (48077140).

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

36409640 is a wasteful number, since it uses less digits than its factorization.

36409640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 36409640 is about 6034.0401059323. The cubic root of 36409640 is about 331.4404131294.

The spelling of 36409640 in words is "thirty-six million, four hundred nine thousand, six hundred forty".