33852960 has 72 divisors (see below), whose sum is σ = 115528140. Its totient is φ = 9027072.

The previous prime is 33852943. The next prime is 33852983. The reversal of 33852960 is 6925833.

It can be written as a sum of positive squares in 2 ways, for example, as 31674384 + 2178576 = 5628^2 + 1476^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33852960² = 2292045801523200, 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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10315 + ... + 13194.

Almost surely, 2^33852960 is an apocalyptic number.

33852960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33852960 is an abundant number, since it is smaller than the sum of its proper divisors (81675180).

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

33852960 is a wasteful number, since it uses less digits than its factorization.

33852960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23530 (or 23519 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 33852960 is about 5818.3296572126. The cubic root of 33852960 is about 323.4934930015.

The spelling of 33852960 in words is "thirty-three million, eight hundred fifty-two thousand, nine hundred sixty".