36413312 has 64 divisors (see below), whose sum is σ = 79396800. Its totient is φ = 16533504.

The previous prime is 36413309. The next prime is 36413317. The reversal of 36413312 is 21331463.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36413317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131318 + ... + 131594.

It is an arithmetic number, because the mean of its divisors is an integer number (1240575).

Almost surely, 2^36413312 is an apocalyptic number.

36413312 is a gapful number since it is divisible by the number (32) 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 36413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39698400).

36413312 is an abundant number, since it is smaller than the sum of its proper divisors (42983488).

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

36413312 is a wasteful number, since it uses less digits than its factorization.

36413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 371 counting only the distinct ones).

The product of its digits is 1296, while the sum is 23.

The square root of 36413312 is about 6034.3443720093. The cubic root of 36413312 is about 331.4515549431.

Adding to 36413312 its reverse (21331463), we get a palindrome (57744775).

The spelling of 36413312 in words is "thirty-six million, four hundred thirteen thousand, three hundred twelve".