33334938 has 96 divisors (see below), whose sum is σ = 90994176. Its totient is φ = 8584704.

The previous prime is 33334921. The next prime is 33334957. The reversal of 33334938 is 83943333.

It is a super-2 number, since 2×33334938² = 2222436182927688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76770 + ... + 77202.

It is an arithmetic number, because the mean of its divisors is an integer number (947856).

Almost surely, 2^33334938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33334938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45497088).

33334938 is an abundant number, since it is smaller than the sum of its proper divisors (57659238).

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

33334938 is a wasteful number, since it uses less digits than its factorization.

33334938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 505 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 33334938 is about 5773.6416584336. The cubic root of 33334938 is about 321.8349590811.

It can be divided in two parts, 33 and 334938, that added together give a triangular number (334971 = T₈₁₈).

The spelling of 33334938 in words is "thirty-three million, three hundred thirty-four thousand, nine hundred thirty-eight".