36344616 has 128 divisors (see below), whose sum is σ = 115292160. Its totient is φ = 9273600.

The previous prime is 36344611. The next prime is 36344629. The reversal of 36344616 is 61644363.

It is a super-2 number, since 2×36344616² = 2641862224374912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 (36344611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131070 + ... + 131346.

It is an arithmetic number, because the mean of its divisors is an integer number (900720).

Almost surely, 2^36344616 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 36344616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57646080).

36344616 is an abundant number, since it is smaller than the sum of its proper divisors (78947544).

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

36344616 is a wasteful number, since it uses less digits than its factorization.

36344616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 371 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 36344616 is about 6028.6496000348. The cubic root of 36344616 is about 331.2429890055.

Adding to 36344616 its reverse (61644363), we get a palindrome (97988979).

The spelling of 36344616 in words is "thirty-six million, three hundred forty-four thousand, six hundred sixteen".