33438636 has 96 divisors (see below), whose sum is σ = 108111360. Its totient is φ = 8683200.

The previous prime is 33438617. The next prime is 33438637. The reversal of 33438636 is 63683433.

It is a happy number.

It is a super-2 number, since 2×33438636² = 2236284755080992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 33438636.

It is not an unprimeable number, because it can be changed into a prime (33438637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6306 + ... + 10326.

It is an arithmetic number, because the mean of its divisors is an integer number (1126160).

Almost surely, 2^33438636 is an apocalyptic number.

33438636 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 33438636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54055680).

33438636 is an abundant number, since it is smaller than the sum of its proper divisors (74672724).

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

33438636 is a wasteful number, since it uses less digits than its factorization.

33438636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052 (or 4044 counting only the distinct ones).

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

The square root of 33438636 is about 5782.6149794016. The cubic root of 33438636 is about 322.1683339838.

The spelling of 33438636 in words is "thirty-three million, four hundred thirty-eight thousand, six hundred thirty-six".