36427968 has 70 divisors (see below), whose sum is σ = 107999276. Its totient is φ = 12140928.

The previous prime is 36427931. The next prime is 36427981. The reversal of 36427968 is 86972463.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 1671 + ... + 8697.

Almost surely, 2^36427968 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 36427968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53999638).

36427968 is an abundant number, since it is smaller than the sum of its proper divisors (71571308).

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

36427968 is an equidigital number, since it uses as much as digits as its factorization.

36427968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7051 (or 7032 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 36427968 is about 6035.5586319743. The cubic root of 36427968 is about 331.4960176422.

The spelling of 36427968 in words is "thirty-six million, four hundred twenty-seven thousand, nine hundred sixty-eight".