36214816 has 72 divisors (see below), whose sum is σ = 80438400. Its totient is φ = 16030080.

The previous prime is 36214813. The next prime is 36214831. The reversal of 36214816 is 61841263.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (36214813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181885 + ... + 182083.

It is an arithmetic number, because the mean of its divisors is an integer number (1117200).

Almost surely, 2^36214816 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 36214816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40219200).

36214816 is an abundant number, since it is smaller than the sum of its proper divisors (44223584).

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

36214816 is a wasteful number, since it uses less digits than its factorization.

36214816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 259 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 36214816 is about 6017.8747079015. The cubic root of 36214816 is about 330.8481884310.

The spelling of 36214816 in words is "thirty-six million, two hundred fourteen thousand, eight hundred sixteen".