36224790 has 128 divisors (see below), whose sum is σ = 107412480. Its totient is φ = 7630848.

The previous prime is 36224779. The next prime is 36224803. The reversal of 36224790 is 9742263.

36224790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 260541 + ... + 260679.

It is an arithmetic number, because the mean of its divisors is an integer number (839160).

Almost surely, 2^36224790 is an apocalyptic number.

36224790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36224790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53706240).

36224790 is an abundant number, since it is smaller than the sum of its proper divisors (71187690).

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

36224790 is a wasteful number, since it uses less digits than its factorization.

36224790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 36224790 is about 6018.7033487289. The cubic root of 36224790 is about 330.8785588457.

It can be divided in two parts, 362 and 24790, that added together give a palindrome (25152).

The spelling of 36224790 in words is "thirty-six million, two hundred twenty-four thousand, seven hundred ninety".