36424500 has 96 divisors (see below), whose sum is σ = 121255680. Its totient is φ = 8323200.

The previous prime is 36424481. The next prime is 36424517. The reversal of 36424500 is 542463.

36424500 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 31 ways as a sum of consecutive naturals, for example, 8766 + ... + 12234.

It is an arithmetic number, because the mean of its divisors is an integer number (1263080).

Almost surely, 2^36424500 is an apocalyptic number.

36424500 is a gapful number since it is divisible by the number (30) 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 36424500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60627840).

36424500 is an abundant number, since it is smaller than the sum of its proper divisors (84831180).

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

36424500 is a wasteful number, since it uses less digits than its factorization.

36424500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 36424500 is about 6035.2713277863. The cubic root of 36424500 is about 331.4854976605.

Adding to 36424500 its product of nonzero digits (2880), we get a triangular number (36427380 = T₈₅₃₅).

Adding to 36424500 its reverse (542463), we get a palindrome (36966963).

The spelling of 36424500 in words is "thirty-six million, four hundred twenty-four thousand, five hundred".