33885420 has 96 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 8408064.

The previous prime is 33885409. The next prime is 33885421. The reversal of 33885420 is 2458833.

It is a super-2 number, since 2×33885420² = 2296443377152800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33885421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141661 + ... + 141899.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^33885420 is an apocalyptic number.

33885420 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 33885420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

33885420 is an abundant number, since it is smaller than the sum of its proper divisors (67720980).

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

33885420 is a wasteful number, since it uses less digits than its factorization.

33885420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 33885420 is about 5821.1184492329. The cubic root of 33885420 is about 323.5968541689.

It can be divided in two parts, 338 and 85420, that added together give a palindrome (85758).

The spelling of 33885420 in words is "thirty-three million, eight hundred eighty-five thousand, four hundred twenty".