33998016 has 112 divisors (see below), whose sum is σ = 99084384. Its totient is φ = 10223616.

The previous prime is 33998009. The next prime is 33998033. The reversal of 33998016 is 61089933.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132160 + ... + 132416.

It is an arithmetic number, because the mean of its divisors is an integer number (884682).

Almost surely, 2^33998016 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 33998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49542192).

33998016 is an abundant number, since it is smaller than the sum of its proper divisors (65086368).

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

33998016 is a wasteful number, since it uses less digits than its factorization.

33998016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 33998016 is about 5830.7817657669. The cubic root of 33998016 is about 323.9548786426.

The spelling of 33998016 in words is "thirty-three million, nine hundred ninety-eight thousand, sixteen".