33853372 has 48 divisors (see below), whose sum is σ = 71322048. Its totient is φ = 13754880.

The previous prime is 33853367. The next prime is 33853373. The reversal of 33853372 is 27335833.

It is a super-2 number, since 2×33853372² = 2292101591540768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33853373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42078 + ... + 42874.

It is an arithmetic number, because the mean of its divisors is an integer number (1485876).

Almost surely, 2^33853372 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 33853372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35661024).

33853372 is an abundant number, since it is smaller than the sum of its proper divisors (37468676).

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

33853372 is a wasteful number, since it uses less digits than its factorization.

33853372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 884 counting only the distinct ones).

The product of its digits is 45360, while the sum is 34.

The square root of 33853372 is about 5818.3650624553. The cubic root of 33853372 is about 323.4948053317.

It can be divided in two parts, 33853 and 372, that added together give a square (34225 = 185²).

The spelling of 33853372 in words is "thirty-three million, eight hundred fifty-three thousand, three hundred seventy-two".