36034824 has 64 divisors (see below), whose sum is σ = 103587840. Its totient is φ = 10232640.

The previous prime is 36034819. The next prime is 36034829. The reversal of 36034824 is 42843063.

It is an interprime number because it is at equal distance from previous prime (36034819) and next prime (36034829).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 36034791 and 36034800.

It is not an unprimeable number, because it can be changed into a prime (36034829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31527 + ... + 32649.

It is an arithmetic number, because the mean of its divisors is an integer number (1618560).

Almost surely, 2^36034824 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 36034824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51793920).

36034824 is an abundant number, since it is smaller than the sum of its proper divisors (67553016).

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

36034824 is a wasteful number, since it uses less digits than its factorization.

36034824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 36034824 is about 6002.9012985389. The cubic root of 36034824 is about 330.2991593874.

Adding to 36034824 its reverse (42843063), we get a palindrome (78877887).

The spelling of 36034824 in words is "thirty-six million, thirty-four thousand, eight hundred twenty-four".