33998208 has 128 divisors (see below), whose sum is σ = 96940800. Its totient is φ = 10536960.

The previous prime is 33998207. The next prime is 33998213. The reversal of 33998208 is 80289933.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33998208² = 2311756294422528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33998208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33998207) 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, 478813 + ... + 478883.

It is an arithmetic number, because the mean of its divisors is an integer number (757350).

Almost surely, 2^33998208 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 33998208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48470400).

33998208 is an abundant number, since it is smaller than the sum of its proper divisors (62942592).

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

33998208 is a wasteful number, since it uses less digits than its factorization.

33998208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 33998208 is about 5830.7982300882. The cubic root of 33998208 is about 323.9554884745.

The spelling of 33998208 in words is "thirty-three million, nine hundred ninety-eight thousand, two hundred eight".