33848442 has 48 divisors (see below), whose sum is σ = 76632192. Its totient is φ = 11197440.

The previous prime is 33848429. The next prime is 33848449. The reversal of 33848442 is 24484833.

It is a super-2 number, since 2×33848442² = 2291434051654728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33848397 and 33848406.

It is not an unprimeable number, because it can be changed into a prime (33848449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124767 + ... + 125037.

It is an arithmetic number, because the mean of its divisors is an integer number (1596504).

Almost surely, 2^33848442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33848442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38316096).

33848442 is an abundant number, since it is smaller than the sum of its proper divisors (42783750).

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

33848442 is a wasteful number, since it uses less digits than its factorization.

33848442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 533 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 33848442 is about 5817.9413884982. The cubic root of 33848442 is about 323.4791012652.

The spelling of 33848442 in words is "thirty-three million, eight hundred forty-eight thousand, four hundred forty-two".