33773968 has 40 divisors (see below), whose sum is σ = 69718752. Its totient is φ = 15794688.

The previous prime is 33773947. The next prime is 33773989. The reversal of 33773968 is 86937733.

It is an interprime number because it is at equal distance from previous prime (33773947) and next prime (33773989).

It is a super-2 number, since 2×33773968² = 2281361828930048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61471 + ... + 62017.

Almost surely, 2^33773968 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 33773968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34859376).

33773968 is an abundant number, since it is smaller than the sum of its proper divisors (35944784).

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

33773968 is a wasteful number, since it uses less digits than its factorization.

33773968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 793 counting only the distinct ones).

The product of its digits is 571536, while the sum is 46.

The square root of 33773968 is about 5811.5374902000. The cubic root of 33773968 is about 323.2416853889.

It can be divided in two parts, 337 and 73968, that added together give a triangular number (74305 = T₃₈₅).

The spelling of 33773968 in words is "thirty-three million, seven hundred seventy-three thousand, nine hundred sixty-eight".