33778052 has 36 divisors (see below), whose sum is σ = 75018384. Its totient is φ = 13159440.

The previous prime is 33778051. The next prime is 33778057. The reversal of 33778052 is 25087733.

It is a super-4 number, since 4×33778052⁴ (a number of 31 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (33778051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5678 + ... + 9989.

It is an arithmetic number, because the mean of its divisors is an integer number (2083844).

Almost surely, 2^33778052 is an apocalyptic number.

It is an amenable number.

33778052 is an abundant number, since it is smaller than the sum of its proper divisors (41240332).

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

33778052 is a wasteful number, since it uses less digits than its factorization.

33778052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15696 (or 15687 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 33778052 is about 5811.8888495910. Note that the first 4 decimals coincide. The cubic root of 33778052 is about 323.2547138239.

The spelling of 33778052 in words is "thirty-three million, seven hundred seventy-eight thousand, fifty-two".