36349281 has 24 divisors (see below), whose sum is σ = 57104424. Its totient is φ = 22187520.

The previous prime is 36349277. The next prime is 36349297. The reversal of 36349281 is 18294363.

36349281 is a `hidden beast` number, since 36 + 349 + 281 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13395600 + 22953681 = 3660^2 + 4791^2 .

It is not a de Polignac number, because 36349281 - 2² = 36349277 is a prime.

It is a super-2 number, since 2×36349281² = 2642540458433922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36349981) 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, 2451 + ... + 8871.

It is an arithmetic number, because the mean of its divisors is an integer number (2379351).

Almost surely, 2^36349281 is an apocalyptic number.

It is an amenable number.

36349281 is a deficient number, since it is larger than the sum of its proper divisors (20755143).

36349281 is a wasteful number, since it uses less digits than its factorization.

36349281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6481 (or 6478 counting only the distinct ones).

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

The square root of 36349281 is about 6029.0364901865. The cubic root of 36349281 is about 331.2571605904.

It can be divided in two parts, 36 and 349281, that multiplied together give a square (12574116 = 3546²).

The spelling of 36349281 in words is "thirty-six million, three hundred forty-nine thousand, two hundred eighty-one".