33838194 has 64 divisors (see below), whose sum is σ = 78140160. Its totient is φ = 9734400.

The previous prime is 33838193. The next prime is 33838199. The reversal of 33838194 is 49183833.

It is a super-2 number, since 2×33838194² = 2290046746363272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33838193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224019 + ... + 224169.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 2^33838194 is an apocalyptic number.

33838194 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33838194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39070080).

33838194 is an abundant number, since it is smaller than the sum of its proper divisors (44301966).

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

33838194 is a wasteful number, since it uses less digits than its factorization.

33838194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 186 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 33838194 is about 5817.0605979309. The cubic root of 33838194 is about 323.4464523135.

The spelling of 33838194 in words is "thirty-three million, eight hundred thirty-eight thousand, one hundred ninety-four".