33754968 has 80 divisors (see below), whose sum is σ = 101843280. Its totient is φ = 10383552.

The previous prime is 33754937. The next prime is 33754991. The reversal of 33754968 is 86945733.

It is a super-2 number, since 2×33754968² = 2278795729362048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6421 + ... + 10427.

It is an arithmetic number, because the mean of its divisors is an integer number (1273041).

Almost surely, 2^33754968 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 33754968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50921640).

33754968 is an abundant number, since it is smaller than the sum of its proper divisors (68088312).

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

33754968 is a wasteful number, since it uses less digits than its factorization.

33754968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4038 (or 4025 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 33754968 is about 5809.9025809389. The cubic root of 33754968 is about 323.1810593661.

The spelling of 33754968 in words is "thirty-three million, seven hundred fifty-four thousand, nine hundred sixty-eight".