33768876 has 48 divisors (see below), whose sum is σ = 85075200. Its totient is φ = 10393152.

The previous prime is 33768869. The next prime is 33768881. The reversal of 33768876 is 67886733.

It is a super-2 number, since 2×33768876² = 2280673972606752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5895 + ... + 10113.

It is an arithmetic number, because the mean of its divisors is an integer number (1772400).

Almost surely, 2^33768876 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 33768876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42537600).

33768876 is an abundant number, since it is smaller than the sum of its proper divisors (51306324).

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

33768876 is a wasteful number, since it uses less digits than its factorization.

33768876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4278 (or 4276 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 33768876 is about 5811.0993796355. The cubic root of 33768876 is about 323.2254398455.

The spelling of 33768876 in words is "thirty-three million, seven hundred sixty-eight thousand, eight hundred seventy-six".