33988240 has 80 divisors (see below), whose sum is σ = 92869056. Its totient is φ = 11404800.

The previous prime is 33988231. The next prime is 33988243. The reversal of 33988240 is 4288933.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 33988240.

It is not an unprimeable number, because it can be changed into a prime (33988243) 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, 9955 + ... + 12925.

Almost surely, 2^33988240 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 33988240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46434528).

33988240 is an abundant number, since it is smaller than the sum of its proper divisors (58880816).

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

33988240 is a wasteful number, since it uses less digits than its factorization.

33988240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 33988240 is about 5829.9433959516. The cubic root of 33988240 is about 323.9238250022.

The spelling of 33988240 in words is "thirty-three million, nine hundred eighty-eight thousand, two hundred forty".