36145824 has 96 divisors (see below), whose sum is σ = 111513024. Its totient is φ = 10106880.

The previous prime is 36145807. The next prime is 36145831. The reversal of 36145824 is 42854163.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12412 + ... + 15044.

It is an arithmetic number, because the mean of its divisors is an integer number (1161594).

Almost surely, 2^36145824 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 36145824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55756512).

36145824 is an abundant number, since it is smaller than the sum of its proper divisors (75367200).

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

36145824 is a wasteful number, since it uses less digits than its factorization.

36145824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2662 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 36145824 is about 6012.1397189353. The cubic root of 36145824 is about 330.6379578209.

Adding to 36145824 its reverse (42854163), we get a palindrome (78999987).

The spelling of 36145824 in words is "thirty-six million, one hundred forty-five thousand, eight hundred twenty-four".