33642048 has 112 divisors (see below), whose sum is σ = 102924864. Its totient is φ = 9584640.

The previous prime is 33642047. The next prime is 33642061. The reversal of 33642048 is 84024633.

It is a super-2 number, since 2×33642048² = 2263574787268608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33642041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35436 + ... + 36372.

It is an arithmetic number, because the mean of its divisors is an integer number (918972).

Almost surely, 2^33642048 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 33642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51462432).

33642048 is an abundant number, since it is smaller than the sum of its proper divisors (69282816).

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

33642048 is a wasteful number, since it uses less digits than its factorization.

33642048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 33642048 is about 5800.1765490371. The cubic root of 33642048 is about 322.8202791410.

The spelling of 33642048 in words is "thirty-three million, six hundred forty-two thousand, forty-eight".