36414336 has 256 divisors, whose sum is σ = 125337600. Its totient is φ = 9123840.

The previous prime is 36414271. The next prime is 36414353. The reversal of 36414336 is 63341463.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1174641 + ... + 1174671.

It is an arithmetic number, because the mean of its divisors is an integer number (489600).

Almost surely, 2^36414336 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 36414336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62668800).

36414336 is an abundant number, since it is smaller than the sum of its proper divisors (88923264).

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

36414336 is a wasteful number, since it uses less digits than its factorization.

36414336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 85 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 36414336 is about 6034.4292190728. The cubic root of 36414336 is about 331.4546618949.

Adding to 36414336 its reverse (63341463), we get a palindrome (99755799).

The spelling of 36414336 in words is "thirty-six million, four hundred fourteen thousand, three hundred thirty-six".