33852420 has 144 divisors (see below), whose sum is σ = 119403648. Its totient is φ = 7603200.

The previous prime is 33852419. The next prime is 33852421. The reversal of 33852420 is 2425833.

It is an interprime number because it is at equal distance from previous prime (33852419) and next prime (33852421).

It is a super-2 number, since 2×33852420² = 2291972679712800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33852421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84220 + ... + 84620.

It is an arithmetic number, because the mean of its divisors is an integer number (829192).

Almost surely, 2^33852420 is an apocalyptic number.

33852420 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 33852420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59701824).

33852420 is an abundant number, since it is smaller than the sum of its proper divisors (85551228).

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

33852420 is a wasteful number, since it uses less digits than its factorization.

33852420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 33852420 is about 5818.2832519567. The cubic root of 33852420 is about 323.4917729411.

The spelling of 33852420 in words is "thirty-three million, eight hundred fifty-two thousand, four hundred twenty".