36414816 has 96 divisors (see below), whose sum is σ = 103366368. Its totient is φ = 11182080.

The previous prime is 36414797. The next prime is 36414817. The reversal of 36414816 is 61841463.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36414817) 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, 86286 + ... + 86706.

It is an arithmetic number, because the mean of its divisors is an integer number (1076733).

Almost surely, 2^36414816 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 36414816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51683184).

36414816 is an abundant number, since it is smaller than the sum of its proper divisors (66951552).

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

36414816 is a wasteful number, since it uses less digits than its factorization.

36414816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 496 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 36414816 is about 6034.4689907232. The cubic root of 36414816 is about 331.4561182585.

The spelling of 36414816 in words is "thirty-six million, four hundred fourteen thousand, eight hundred sixteen".