36493120 has 28 divisors (see below), whose sum is σ = 86900004. Its totient is φ = 14597120.

The previous prime is 36493117. The next prime is 36493123. The reversal of 36493120 is 2139463.

It is an interprime number because it is at equal distance from previous prime (36493117) and next prime (36493123).

It can be written as a sum of positive squares in 2 ways, for example, as 8020224 + 28472896 = 2832^2 + 5336^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36493123) 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 3 ways as a sum of consecutive naturals, for example, 56701 + ... + 57340.

Almost surely, 2^36493120 is an apocalyptic number.

It is an amenable number.

36493120 is an abundant number, since it is smaller than the sum of its proper divisors (50406884).

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

36493120 is a wasteful number, since it uses less digits than its factorization.

36493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114058 (or 114048 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 36493120 is about 6040.9535671117. The cubic root of 36493120 is about 331.6935285714.

The spelling of 36493120 in words is "thirty-six million, four hundred ninety-three thousand, one hundred twenty".