36347268 has 48 divisors (see below), whose sum is σ = 89671680. Its totient is φ = 11435424.

The previous prime is 36347261. The next prime is 36347281. The reversal of 36347268 is 86274363.

It is a super-2 number, since 2×36347268² = 2642247782127648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36347261) 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 15 ways as a sum of consecutive naturals, for example, 20971 + ... + 22637.

It is an arithmetic number, because the mean of its divisors is an integer number (1868160).

Almost surely, 2^36347268 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 36347268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44835840).

36347268 is an abundant number, since it is smaller than the sum of its proper divisors (53324412).

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

36347268 is a wasteful number, since it uses less digits than its factorization.

36347268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1774 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 36347268 is about 6028.8695457772. The cubic root of 36347268 is about 331.2510455408.

The spelling of 36347268 in words is "thirty-six million, three hundred forty-seven thousand, two hundred sixty-eight".