33968500 has 48 divisors (see below), whose sum is σ = 76042512. Its totient is φ = 13248000.

The previous prime is 33968491. The next prime is 33968509. The reversal of 33968500 is 586933.

It is an interprime number because it is at equal distance from previous prime (33968491) and next prime (33968509).

It can be written as a sum of positive squares in 8 ways, for example, as 23444964 + 10523536 = 4842^2 + 3244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33968509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19672 + ... + 21328.

It is an arithmetic number, because the mean of its divisors is an integer number (1584219).

Almost surely, 2^33968500 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 33968500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38021256).

33968500 is an abundant number, since it is smaller than the sum of its proper divisors (42074012).

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

33968500 is a wasteful number, since it uses less digits than its factorization.

33968500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 33968500 is about 5828.2501662163. The cubic root of 33968500 is about 323.8611023800.

The spelling of 33968500 in words is "thirty-three million, nine hundred sixty-eight thousand, five hundred".