33976768 has 56 divisors (see below), whose sum is σ = 77724000. Its totient is φ = 14435328.

The previous prime is 33976739. The next prime is 33976781. The reversal of 33976768 is 86767933.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

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, 66498 + ... + 67006.

Almost surely, 2^33976768 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 33976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38862000).

33976768 is an abundant number, since it is smaller than the sum of its proper divisors (43747232).

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

33976768 is a wasteful number, since it uses less digits than its factorization.

33976768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 667 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 49.

The square root of 33976768 is about 5828.9594268617. The cubic root of 33976768 is about 323.8873763924.

The spelling of 33976768 in words is "thirty-three million, nine hundred seventy-six thousand, seven hundred sixty-eight".