33838704 has 120 divisors (see below), whose sum is σ = 104805792. Its totient is φ = 10137600.

The previous prime is 33838699. The next prime is 33838729. The reversal of 33838704 is 40783833.

33838704 is nontrivially palindromic in base 14.

It is a super-2 number, since 2×33838704² = 2290115776799232, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56004 + ... + 56604.

Almost surely, 2^33838704 is an apocalyptic number.

33838704 is a gapful number since it is divisible by the number (34) 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 33838704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52402896).

33838704 is an abundant number, since it is smaller than the sum of its proper divisors (70967088).

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

33838704 is a wasteful number, since it uses less digits than its factorization.

33838704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 33838704 is about 5817.1044343384. The cubic root of 33838704 is about 323.4480772708.

The spelling of 33838704 in words is "thirty-three million, eight hundred thirty-eight thousand, seven hundred four".