36377216 has 32 divisors (see below), whose sum is σ = 74438580. Its totient is φ = 17694720.

The previous prime is 36377207. The next prime is 36377221. The reversal of 36377216 is 61277363.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 32535616 + 3841600 = 5704^2 + 1960^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 896 + ... + 8576.

Almost surely, 2^36377216 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 36377216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37219290).

36377216 is an abundant number, since it is smaller than the sum of its proper divisors (38061364).

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

36377216 is an equidigital number, since it uses as much as digits as its factorization.

36377216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7732 (or 7720 counting only the distinct ones).

The product of its digits is 31752, while the sum is 35.

The square root of 36377216 is about 6031.3527504201. The cubic root of 36377216 is about 331.3419976583.

The spelling of 36377216 in words is "thirty-six million, three hundred seventy-seven thousand, two hundred sixteen".