36034416 has 80 divisors (see below), whose sum is σ = 112849920. Its totient is φ = 10918080.

The previous prime is 36034403. The next prime is 36034423. The reversal of 36034416 is 61443063.

36034416 is a `hidden beast` number, since 3 + 603 + 44 + 16 = 666.

36034416 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 2×36034416² = 2596958272922112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 36034416.

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 15 ways as a sum of consecutive naturals, for example, 961 + ... + 8543.

It is an arithmetic number, because the mean of its divisors is an integer number (1410624).

Almost surely, 2^36034416 is an apocalyptic number.

36034416 is a gapful number since it is divisible by the number (36) 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 36034416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56424960).

36034416 is an abundant number, since it is smaller than the sum of its proper divisors (76815504).

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

36034416 is a wasteful number, since it uses less digits than its factorization.

36034416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7611 (or 7599 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 36034416 is about 6002.8673148755. The cubic root of 36034416 is about 330.2979127917.

Adding to 36034416 its reverse (61443063), we get a palindrome (97477479).

The spelling of 36034416 in words is "thirty-six million, thirty-four thousand, four hundred sixteen".