33938352 has 240 divisors, whose sum is σ = 119159040. Its totient is φ = 9144576.

The previous prime is 33938329. The next prime is 33938353. The reversal of 33938352 is 25383933.

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

It is not an unprimeable number, because it can be changed into a prime (33938353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 789243 + ... + 789285.

It is an arithmetic number, because the mean of its divisors is an integer number (496496).

Almost surely, 2^33938352 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 33938352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59579520).

33938352 is an abundant number, since it is smaller than the sum of its proper divisors (85220688).

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

33938352 is a wasteful number, since it uses less digits than its factorization.

33938352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 84 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 33938352 is about 5825.6632240458. The cubic root of 33938352 is about 323.7652620723.

The spelling of 33938352 in words is "thirty-three million, nine hundred thirty-eight thousand, three hundred fifty-two".