33852000 has 384 divisors, whose sum is σ = 140894208. Its totient is φ = 6912000.

The previous prime is 33851999. The next prime is 33852029. The reversal of 33852000 is 25833.

It is a super-2 number, since 2×33852000² = 2291915808000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1091985 + ... + 1092015.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 2^33852000 is an apocalyptic number.

33852000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70447104).

33852000 is an abundant number, since it is smaller than the sum of its proper divisors (107042208).

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

33852000 is a wasteful number, since it uses less digits than its factorization.

33852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 33852000 is about 5818.2471587240. The cubic root of 33852000 is about 323.4904351036.

Adding to 33852000 its reverse (25833), we get a palindrome (33877833).

It can be divided in two parts, 338 and 52000, that multiplied together give a cube (17576000 = 260³).

The spelling of 33852000 in words is "thirty-three million, eight hundred fifty-two thousand".