33938940 has 96 divisors (see below), whose sum is σ = 114347520. Its totient is φ = 7347456.

The previous prime is 33938887. The next prime is 33938951. The reversal of 33938940 is 4983933.

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, 5854 + ... + 10106.

It is an arithmetic number, because the mean of its divisors is an integer number (1191120).

Almost surely, 2^33938940 is an apocalyptic number.

33938940 is a gapful number since it is divisible by the number (30) 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 33938940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57173760).

33938940 is an abundant number, since it is smaller than the sum of its proper divisors (80408580).

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

33938940 is a wasteful number, since it uses less digits than its factorization.

33938940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 33938940 is about 5825.7136901842. The cubic root of 33938940 is about 323.7671318633.

The spelling of 33938940 in words is "thirty-three million, nine hundred thirty-eight thousand, nine hundred forty".