36408320 has 88 divisors (see below), whose sum is σ = 94227504. Its totient is φ = 13418496.

The previous prime is 36408319. The next prime is 36408329. The reversal of 36408320 is 2380463.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 36408320.

It is not an unprimeable number, because it can be changed into a prime (36408329) 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, 66287 + ... + 66833.

Almost surely, 2^36408320 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 36408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47113752).

36408320 is an abundant number, since it is smaller than the sum of its proper divisors (57819184).

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

36408320 is a wasteful number, since it uses less digits than its factorization.

36408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 36408320 is about 6033.9307254890. The cubic root of 36408320 is about 331.4364077191.

Adding to 36408320 its reverse (2380463), we get a palindrome (38788783).

The spelling of 36408320 in words is "thirty-six million, four hundred eight thousand, three hundred twenty".