33781968 has 80 divisors (see below), whose sum is σ = 105796800. Its totient is φ = 10235520.

The previous prime is 33781967. The next prime is 33781987. The reversal of 33781968 is 86918733.

It is a happy number.

It is a super-2 number, since 2×33781968² = 2282442723906048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33781967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1198 + ... + 8306.

It is an arithmetic number, because the mean of its divisors is an integer number (1322460).

Almost surely, 2^33781968 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 33781968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52898400).

33781968 is an abundant number, since it is smaller than the sum of its proper divisors (72014832).

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

33781968 is a wasteful number, since it uses less digits than its factorization.

33781968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7137 (or 7125 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 33781968 is about 5812.2257354649. The cubic root of 33781968 is about 323.2672053331.

The spelling of 33781968 in words is "thirty-three million, seven hundred eighty-one thousand, nine hundred sixty-eight".