36680409 has 18 divisors (see below), whose sum is σ = 54759978. Its totient is φ = 23659200.

The previous prime is 36680401. The next prime is 36680417. The reversal of 36680409 is 90408663.

It is an interprime number because it is at equal distance from previous prime (36680401) and next prime (36680417).

It can be written as a sum of positive squares in only one way, i.e., 36542025 + 138384 = 6045^2 + 372^2 .

It is not a de Polignac number, because 36680409 - 2³ = 36680401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36680401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6529 + ... + 10769.

It is an arithmetic number, because the mean of its divisors is an integer number (3042221).

Almost surely, 2^36680409 is an apocalyptic number.

It is an amenable number.

36680409 is a deficient number, since it is larger than the sum of its proper divisors (18079569).

36680409 is a wasteful number, since it uses less digits than its factorization.

36680409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4309 (or 4275 counting only the distinct ones).

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

The square root of 36680409 is about 6056.4353377214. The cubic root of 36680409 is about 332.2599967778.

The spelling of 36680409 in words is "thirty-six million, six hundred eighty thousand, four hundred nine".