36042810 has 64 divisors (see below), whose sum is σ = 93571200. Its totient is φ = 8854272.

The previous prime is 36042793. The next prime is 36042823. The reversal of 36042810 is 1824063.

It is a happy number.

36042810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36042810² = 2598168305392200, which contains 22 as substring.

It is a Curzon 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, 20236 + ... + 21944.

It is an arithmetic number, because the mean of its divisors is an integer number (1462050).

Almost surely, 2^36042810 is an apocalyptic number.

36042810 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 36042810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46785600).

36042810 is an abundant number, since it is smaller than the sum of its proper divisors (57528390).

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

36042810 is a wasteful number, since it uses less digits than its factorization.

36042810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 36042810 is about 6003.5664400421. The cubic root of 36042810 is about 330.3235577698.

Adding to 36042810 its reverse (1824063), we get a palindrome (37866873).

The spelling of 36042810 in words is "thirty-six million, forty-two thousand, eight hundred ten".