36939168 has 144 divisors (see below), whose sum is σ = 122181696. Its totient is φ = 10368000.

The previous prime is 36939167. The next prime is 36939169. The reversal of 36939168 is 86193963.

It is an interprime number because it is at equal distance from previous prime (36939167) and next prime (36939169).

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (36939163) 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, 147043 + ... + 147293.

It is an arithmetic number, because the mean of its divisors is an integer number (848484).

Almost surely, 2^36939168 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 36939168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61090848).

36939168 is an abundant number, since it is smaller than the sum of its proper divisors (85242528).

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

36939168 is a wasteful number, since it uses less digits than its factorization.

36939168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 336 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 36939168 is about 6077.7601137261. The cubic root of 36939168 is about 333.0394672265.

The spelling of 36939168 in words is "thirty-six million, nine hundred thirty-nine thousand, one hundred sixty-eight".