33987968 has 48 divisors (see below), whose sum is σ = 78779700. Its totient is φ = 14563584.

The previous prime is 33987949. The next prime is 33987973. The reversal of 33987968 is 86978933.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3563 + ... + 8981.

Almost surely, 2^33987968 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 33987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39389850).

33987968 is an abundant number, since it is smaller than the sum of its proper divisors (44791732).

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

33987968 is an equidigital number, since it uses as much as digits as its factorization.

33987968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5447 (or 5428 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 53.

The square root of 33987968 is about 5829.9200680627. The cubic root of 33987968 is about 323.9229609041.

The spelling of 33987968 in words is "thirty-three million, nine hundred eighty-seven thousand, nine hundred sixty-eight".