33700968 has 128 divisors (see below), whose sum is σ = 110592000. Its totient is φ = 9305280.

The previous prime is 33700921. The next prime is 33700981. The reversal of 33700968 is 86900733.

It is a super-2 number, since 2×33700968² = 2271510488274048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46513 + ... + 47231.

It is an arithmetic number, because the mean of its divisors is an integer number (864000).

Almost surely, 2^33700968 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 33700968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55296000).

33700968 is an abundant number, since it is smaller than the sum of its proper divisors (76891032).

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

33700968 is a wasteful number, since it uses less digits than its factorization.

33700968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 33700968 is about 5805.2534828378. The cubic root of 33700968 is about 323.0086295208.

The spelling of 33700968 in words is "thirty-three million, seven hundred thousand, nine hundred sixty-eight".