36834336 has 216 divisors, whose sum is σ = 132455232. Its totient is φ = 9504000.

The previous prime is 36834319. The next prime is 36834353. The reversal of 36834336 is 63343863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36834319) and next prime (36834353).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 36834336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243861 + ... + 244011.

Almost surely, 2^36834336 is an apocalyptic number.

36834336 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 36834336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66227616).

36834336 is an abundant number, since it is smaller than the sum of its proper divisors (95620896).

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

36834336 is a wasteful number, since it uses less digits than its factorization.

36834336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 174 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 36834336 is about 6069.1297563984. The cubic root of 36834336 is about 332.7241174686.

The spelling of 36834336 in words is "thirty-six million, eight hundred thirty-four thousand, three hundred thirty-six".