36036768 has 96 divisors (see below), whose sum is σ = 104025600. Its totient is φ = 10872576.

The previous prime is 36036751. The next prime is 36036769. The reversal of 36036768 is 86763063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (36036769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41523 + ... + 42381.

It is an arithmetic number, because the mean of its divisors is an integer number (1083600).

Almost surely, 2^36036768 is an apocalyptic number.

36036768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36036768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52012800).

36036768 is an abundant number, since it is smaller than the sum of its proper divisors (67988832).

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

36036768 is a wasteful number, since it uses less digits than its factorization.

36036768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 36036768 is about 6003.0632180579. The cubic root of 36036768 is about 330.3050989198.

It can be divided in two parts, 360 and 36768, that added together give a triangular number (37128 = T₂₇₂).

The spelling of 36036768 in words is "thirty-six million, thirty-six thousand, seven hundred sixty-eight".