33838896 has 160 divisors (see below), whose sum is σ = 110215168. Its totient is φ = 8709120.

The previous prime is 33838877. The next prime is 33838901. The reversal of 33838896 is 69883833.

It is a super-2 number, since 2×33838896² = 2290141764997632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266385 + ... + 266511.

Almost surely, 2^33838896 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 33838896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55107584).

33838896 is an abundant number, since it is smaller than the sum of its proper divisors (76376272).

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

33838896 is a wasteful number, since it uses less digits than its factorization.

33838896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 33838896 is about 5817.1209373710. The cubic root of 33838896 is about 323.4486890152.

The spelling of 33838896 in words is "thirty-three million, eight hundred thirty-eight thousand, eight hundred ninety-six".